Math IV - Composite Function; Inverse of a Function

74
©R e2I0v1x28 DKVuItDaE TS6oZfttLwaairGea rLBLyCo.4 M FA6lSls DrNitgIh7tXsC 5rneasueWrIvAePdJ.4 7 qM1aldWef lwCi6t9h0 1IjnYfsiZnNittEeh QAblkgRe6b5rda9 u2y.T Worksheet by Kuta Software LLC Math IV ID: 1 Name___________________________________ Date________________ ©4 6210Q1B2e CK7uttRaj uSGoWfJtUw0alrWeq aLTLCCH.A N NAJlKlM Yr3isg4hDt2sL GrEeMs8ejrCv7eAdQ.M Composite Function; Inverse of a Function Perform the indicated operation. 1) g(n) n h(n) n Find ( g h)(n) 2) g( x) x h( x) x Find ( g h)( x) 3) g( x) x h( x) x x Find ( g h)( x) 4) f ( x) x g( x) x Find ( f g)( x) 5) f (t) t g(t) t t Find ( f g)() 6) h( x) x g( x) x Find (h g)() 7) g(t) t h(t) t t Find ( g h)() 8) f ( x) x g( x) x Find ( f g)() Find the inverse of each function. 9) f ( x) x 10) h( x) x 11) f ( x) x 12) h( x) x

description

math 4

Transcript of Math IV - Composite Function; Inverse of a Function

  • R e2I0v1x28 DKVuItDaE TS6oZfttLwaairGea rLBLyCo.4 M FA6lSls DrNitgIh7tXsC 5rneasueWrIvAePdJ.4 7 qM1aldWef lwCi6t9h0 1IjnYfsiZnNittEeh QAblkgRe6b5rda9 u2y.T Worksheet by Kuta Software LLC

    Math IVID: 1

    Name___________________________________

    Date________________4 6210Q1B2e CK7uttRaj uSGoWfJtUw0alrWeq aLTLCCH.A N NAJlKlM Yr3isg4hDt2sL GrEeMs8ejrCv7eAdQ.MComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    2)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)(

    x)

    3)

    g(

    x)

    x

    h(

    x)

    x

    xFind (

    g

    h)(

    x)

    4)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    5)

    f (

    t)

    t

    g(

    t)

    t

    t

    Find (

    f

    g)()

    6)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)()

    7)

    g(

    t)

    t

    h(

    t)

    t

    tFind (

    g

    h)()

    8)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    h(

    x)

    x

    11)

    f (

    x)

    x 12)

    h(

    x)

    x

  • 7 i2y041E2Y gKGuBtuaz tSvoyfYtBwMazrYeU 9LlLpCf.f 0 kAfl5lk hr3iYgvhgt3sh vrWersre0rgv3ekdO.v h bMfaWd9es 6wSiCtpht OInnhfgiQnMihtIeo eA1lpgReNb8rvaW 52h.U Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 1)1)

    n 2)

    x

    x 3)

    x

    x 4)

    x5) 6) 7) 8) 9)

    f (

    x)

    x 10)

    h(

    x)

    x 11)

    f (

    x)

    x

    12)

    h(

    x)

    x

  • r o2q0q132y rKouwtYaL TSNoufCtLwLaCrHex gLOLVCX.d Z fAWlMll BryiUgChXtzsQ Nrie2sSeLrLv0eWd3.R 5 zMoaEdvei sw2iptXh1 EIunzfjiwnbi6tzeD CArlLgOezbiraav m2o.p Worksheet by Kuta Software LLC

    Math IVID: 2

    Name___________________________________

    Date________________j b2N0B112S LKPuRtPaa nSBoCfStOwWavr5ef rLdL6C0.Q R iAMlclo BreisgKhxtCsp UrzeRsAeMrCvgehdw.3Composite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)(

    n)

    2)

    g(

    t)

    t

    h(

    t)

    tFind (

    g

    h)(

    t)

    3)

    g(

    n)

    n

    h(

    n)

    n

    nFind (

    g

    h)(

    n)

    4)

    h(

    n)

    n

    g(

    n)

    n

    nFind (

    h

    g)(

    n)

    5)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    6)

    h(

    a)

    a

    g(

    a)

    aFind (

    h

    g)()

    7)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    8)

    h(

    t)

    t

    g(

    t)

    tFind (

    h

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x

    10)

    g(

    x)

    x

    11)

    f (

    x)

    x

    12)

    g(

    x)

    x

  • d p2F001N2C IKmuTtnaI wSOopf9trwAaNrRex kLJLwCu.U m QAMlSl2 HrsidgQhgt9so IrceGsHejrXvKeydS.t F RMQaadbef 8wSibt6hq 1IKn3f3iKnKimtQeR 0Aml0gTesbsr8aN S2l.D Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 2)1)

    n 2)

    t 3)

    n

    n 4)

    n

    n5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    g(

    x)

    x 11)

    f (

    x)

    x

    12)

    g(

    x)

    x

  • i i2H0L1v2x wKputtDav xSfopfytPwVa1rFe1 RLGLbCb.m B wADlvlX 3rMi2ghhMtPsy hrne5s4eMrivEesdF.H S tMPa0dCe4 Xw8i7tahP KISn4fOifnyiDtdeR eA8lSgWetb2rOaf q2R.M Worksheet by Kuta Software LLC

    Math IVID: 3

    Name___________________________________

    Date________________q i230a1X2J ZK0uKtrav 7SnotfxtvwWaArqei 4LbLIC2.z D iAJlqlc 3rai6gChHtwsc vrsezsweirIvxeRdq.BComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)(

    n)

    2)

    g(

    x)

    x

    h(

    x)

    x

    xFind (

    g

    h)(

    x)

    3)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    4)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    5)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)()

    6)

    f (

    n)

    n

    g(

    n)

    n

    nFind (

    f

    g)()

    7)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    8)

    g(

    x)

    x

    h(

    x)

    x

    xFind (

    g

    h)()

    Find the inverse of each function.

    9)

    g(

    x)

    x

    10)

    f (

    x)

    x

    11)

    g(

    x)

    x12)

    f (

    x)

    x

  • C S2a0E1i2D bKVuXtWaa DScowfBtgw7aprnep vLZLhCu.d k MABlQl6 Yr5ibgah5t3sb krueEsFeyrdvQe0dh.w 1 mMpa8d9eT 9wcigtVhi ZIpnmfai9n5i5the9 kA2lwg7erbArIaR 925.v Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 3)1)

    n 2)

    x

    x 3)

    a 4)

    x5) 6) 7) 8) 9)

    g(

    x)

    x 10)

    f (

    x)

    x 11)

    g(

    x)

    x

    12)

    f (

    x)

    x

  • A Q270D1J2U BKsuIt6a4 FSlo4f3t8wNaerue7 LLYLpCB.U N FAilnlY ur5ifg5hJtese YrVeMsBeVrFvNedd0.g g aMfaudAeG 9wBiwtahR gIOneflignSiBtJe0 cAvl2gCeGbbroaO Z24.q Worksheet by Kuta Software LLC

    Math IVID: 4

    Name___________________________________

    Date________________l V290K1o20 iKguLttah MSJokfrtmwtairReQ nLVLCCr.E r PAWlblq XrciKgLhstPsH trkeks5e7rUvje2dZ.tComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)(

    x)

    2)

    h(

    a)

    a

    g(

    a)

    aFind (

    h

    g)(

    a)

    3)

    f (

    a)

    a

    g(

    a)

    a

    aFind (

    f

    g)(

    a)

    4)

    h(

    x)

    x

    g(

    x)

    x

    xFind (

    h

    g)(

    x)

    5)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    6)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    7)

    h(

    a)

    a

    g(

    a)

    aFind (

    h

    g)()

    8)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    Find the inverse of each function.

    9)

    g(

    x)

    x10)

    g(

    x)

    x

    11)

    g(

    x)

    x

    12)

    f (

    x)

    x

  • M x280c1X2n NKpujtla4 sS3oyfothwVaTrKeg rL3LJCf.w z sAcl5lN br3iugih3tnsw Krle0speXr2vWe7dR.d 6 mM2acdje3 fwyiOtKhb jIQnKfKiInGiCtYe1 5A0lPgDeKbfrCax d2Z.E Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 4)1)

    x

    x 2)

    a 3)

    a

    a 4)

    x

    x5) 6) 7) 8) 9)

    g(

    x)

    x 10)

    g(

    x)

    x

    11)

    g(

    x)

    x

    12)

    f (

    x)

    x

  • k Z2m0h1z2D 2KFuitBae ASloNf2tRw9aLrYe9 DL5LzCp.g 7 QATlZlD nrtitgQhutWsg prNeUs2ebrAvFecdz.F 4 gMtaOdIek jwoiEt8hq FI7n6fci7nsiztCe5 nArljg6e3bEr6aj Q22.K Worksheet by Kuta Software LLC

    Math IVID: 5

    Name___________________________________

    Date________________L 4250m1e2Q ZKEu9tnaU vSkobfIt2wYaeree4 5LrLfCq.p q rAFlGlv JrJi6g2hFtnsT 9rRezs3emrAvHewd3.4Composite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    x (

    t)

    t

    g(

    t)

    tFind (

    f

    g)(

    t)

    2)

    g(

    a)

    a

    a

    f (

    a)

    aFind (

    g

    f )(

    a)

    3)

    g(

    t)

    t

    h(

    t)

    tFind (

    g

    h)(

    t)

    4)

    g(

    t)

    t

    f (

    t)

    tFind (

    g

    f )(

    t)

    5)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    6)

    f (

    t)

    t

    g(

    t)

    t

    t

    Find (

    f

    g)()

    7)

    g(

    t)

    t

    h(

    t)

    tFind (

    g

    h)()

    8)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    Find the inverse of each function.

    9)

    g(

    x)

    x

    10)

    h(

    x)

    x

    11)

    g(

    x)

    x

    12)

    f (

    x)

    x

  • c U290V1q2p 2Ktuytpa9 2SFolfetKwKaer4eS 5LqLVCf.L a cATlklW nroixg0hvtWsV SrieXsMeprkvieXdu.b b gMRa8dWeW nwyixtHhF pIWndfbiTn2i8t7es TAmlMgVe7btrtaT y2m.H Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 5)1)

    t 2)

    a 3)

    t 4)

    t

    t5) 6) 7) 8)

    9)

    g(

    x)

    x

    10)

    h(

    x)

    x

    11)

    g(

    x)

    x 12)

    f (

    x)

    x

  • U 82b0P122p SKduAtda2 oSjoZfetSwcanrJe1 iLML0CY.I w kA7ljlJ 4rGirgLh8tUsi xroezsPecrKvpeYdB.u 5 uMaaYdWe1 sw0iqtDh5 YIOnXfiignCidtnes pAplsgzeAb2rsaN t2y.8 Worksheet by Kuta Software LLC

    Math IVID: 6

    Name___________________________________

    Date________________m K2S0a1q2W FKwuwtLaT ASvoffxt5wLaPrOeT 0LfL9CR.B o pAml4ld SrPihgKhStts1 Wr6eUsReJrUvQeydL.EComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    2)

    f (

    n)

    n

    g(

    n)

    n

    n

    nFind (

    f

    g)(

    n)

    3)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)(

    x)

    4)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)(

    x)

    5)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    6)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)()

    7)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    8)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x

    10)

    f (

    x)

    x

    11)

    g(

    x)

    x

    12)

    g(

    x)

    x

  • m m2u0H132f OKwurtTaQ BSJoTfGtmw0aVrEeV tLcLhCo.8 6 fAvl2lc 9rAiZg8hxtGsV zrXe6s2eErsvDe8d7.o 4 xMfaIdNeU nwLicthh4 uIoncfAiEneiStUe6 zAolqgteFbwrjaZ T2W.b Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 6)1)

    n

    n 2)

    n

    n

    n 3)

    x 4)

    x5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    f (

    x)

    x

    11)

    g(

    x)

    x

    12)

    g(

    x)

    x

  • K G260m1s2C zKhuwtWaG hSAoAfTt9wmaFrseq mLeL8C3.1 E 5A3lhlf erki8gQhrtbsH qr7e7sOeRrQv6ewdT.9 B JMaaddNeW 2wSiLtOhH sIvncf3i5nAijtMeb bA0lYgHe3berJag o2U.e Worksheet by Kuta Software LLC

    Math IVID: 7

    Name___________________________________

    Date________________r Y2t0V1C2J mKiuktBaW GSWomfztZw3a2rjed ELBLqCf.3 X GAPl8lE nrqiWgMhBtWso FrTeMsMemrDvPerdC.uComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    a)

    a

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    2)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)(

    x)

    3)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    4)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    5)

    h(

    a)

    a

    g(

    a)

    aFind (

    h

    g)()

    6)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    7)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    8)

    f (

    a)

    a

    g(

    a)

    a

    aFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x

    10)

    f (

    x)

    x

    11)

    f (

    x)

    x

    12)

    h(

    x)

    x

  • p E2l0J1R2Y 9KYujt1aw RSpovfTtuwVasrieT 4L5L4CL.W 4 4AXlNl6 kruiRgohqtXsL Cr0eAspeYrGvBe0dd.G e lMPa5dhez BwpiGtPhF yI4nDf0i2n4iZtZes yAllngrecbsrqaB U28.u Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 7)1)

    a

    a 2)

    x 3)

    n 4)

    a5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    f (

    x)

    x

    11)

    f (

    x)

    x 12)

    h(

    x)

    x

  • Q m2J0t1h28 BKBuVtLaX TSboGfWtTwJa4rDej zLrLTCZ.w N yAdlslb brmilgXhVtdsa 6rDeys0e4rNvCe1dk.z 2 PMwaNdxei dwUiSt6hl uIenGfoi0nfi7tbep IAMlQgGeKbdrEa1 O2f.W Worksheet by Kuta Software LLC

    Math IVID: 8

    Name___________________________________

    Date________________5 z2l0W1e2m oKGuBtkaP nSboRfVtrwdarr3eu NLQLIC7.W 7 hAQl5lA 8rKiugfh4tHsw grqeasfeBrAvReldD.KComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    h(

    a)

    a

    a

    g(

    a)

    aFind (

    h

    g)(

    a)

    2)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)(

    x)

    3)

    g(

    a)

    a

    f (

    a)

    aFind (

    g

    f )(

    a)

    4)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    5)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    6)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)()

    7)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    8)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x

    10)

    g(

    x)

    x

    11)

    h(

    x)

    x

    12)

    f (

    x)

    x

  • f x2O0M1E24 IK6uHtNad KSKoVfUtvwoakrYev kLALBC2.S M vA2lZl2 nrIiKgqhItIs2 zrne5sieJr8vneFdk.0 b 2MlaGdqeC Iw1iotZhg tI5n8fLijnqiMtpec 0Ajl6g7ekbzrUaB d22.W Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 8)1)

    a

    a

    a 2)

    x 3)

    a4)

    n

    n 5) 6) 7) 8) 9)

    f (

    x)

    x 10)

    g(

    x)

    x

    11)

    h(

    x)

    x

    12)

    f (

    x)

    x

  • W U2n0o1p2Y aKauMtAag OSCoYf7t6wPa6rzeR KLULCC3.e f JA0lklX tr7i0gsh0tbsw ZrcewsCeFrVvLePdI.w L eM5aEdxe5 HwAiStmh3 8IJnIfxisnPiNtqe2 MAOlCgyeXbWrJax n2A.h Worksheet by Kuta Software LLC

    Math IVID: 9

    Name___________________________________

    Date________________i q2c001m2i yKLuBtba1 9Sgogf5t5wCacr3ej CLfLLCY.q A 1AZlulY vrmiqgMhetusw Ur3e3sAeUrBvDerdl.LComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)(

    n)

    2)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    3)

    f (

    x)

    x

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    4)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    5)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)()

    6)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    7)

    h(

    t)

    t

    t

    g(

    t)

    tFind (

    h

    g)()

    8)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    Find the inverse of each function.

    9)

    g(

    x)

    x 10)

    f (

    x)

    x

    11)

    g(

    x)

    x

    12)

    g(

    x)

    x

  • l U200w1Q2G 0KcuKtraa LSWoYfit3wGakrJeW VL7LvCk.X l 7AslWlF ErRi2gJhGt5s2 jrTehs7e9r3v6ePdj.s 2 wMSaedYeW PwziptWhK wI7nafAienQirtVeg dAblkg7esbMrDai y2d.2 Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 9)1)

    n 2)

    x 3)

    x

    x 4)

    a5) 6) 7) 8)

    9)

    g(

    x)

    x

    10)

    f (

    x)

    x 11)

    g(

    x)

    x 12)

    g(

    x)

    x

  • Z E2K0C132Y NKOustWai HSioyfstkw3ahrSen 7L4LNCH.y 1 5AulLlt XrnivgGhRtmsV prVeFs6eQrcvaeUdH.S d bMWandiek lwNi0t3hg QImnmfIirnsiGtZeq BA5l3g7ebbGr8aW 82Q.Q Worksheet by Kuta Software LLC

    Math IVID: 10

    Name___________________________________

    Date________________M 82A0M122s HKvuYtvas LSnocfXtjwUaUrNeP aLQLFCF.G 3 PAylnle UrhipgthRtasX GrkeYsBeQrYvyebdc.uComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    2)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)(

    x)

    3)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    4)

    g(

    t)

    t

    h(

    t)

    tFind (

    g

    h)(

    t)

    5)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    6)

    g(

    x)

    x

    h(

    x)

    x

    xFind (

    g

    h)()

    7)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)()

    8)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    Find the inverse of each function.

    9)

    h(

    x)

    x

    10)

    g(

    x)

    x

    11)

    f (

    x)

    x 12)

    f (

    x)

    x

  • s n2O0N1B23 jKbuTtsaR LSsoAfftKw8aAr2eN 2LXLyC9.0 z DAVlglw OrRidgTh9tGsL krSeZsBeirdvVeLdY.e q kMyavdHeS dwli0tGhe pIMn7fPiFnjipt0eV cASlZgGeqbAr4aD Q2t.8 Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 10)1)

    n 2)

    x

    x 3)

    x 4)

    t5) 6) 7) 8)

    9)

    h(

    x)

    x 10)

    g(

    x)

    x 11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • G E2p0V1B2t JKfuztaa2 NS2oEfqt9w6aIr8ev ELvLdCG.7 c lAdlDlG 2rAiogNhttPsA prIeesXe2rXvkeXdJ.u W wMkardJea twViZtuhK SI2nGfEi1nAiYt7eh OAUl2gGe3bWrrao P29.E Worksheet by Kuta Software LLC

    Math IVID: 11

    Name___________________________________

    Date________________3 R2j0H152J eKVu3tVaR cSFodfItXwNaRrge8 lLtLYCa.P N hAFldlp yrJiGgPhNtosU IrqeSsFenrdvBe6dK.uComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    t)

    t

    f (

    t)

    tFind (

    g

    f )(

    t)

    2)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    3)

    g(

    t)

    t

    h(

    t)

    t

    Find (

    g

    h)(

    t)

    4)

    g(

    a)

    a

    h(

    a)

    aFind (

    g

    h)(

    a)

    5)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)()

    6)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    7)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    8)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    Find the inverse of each function.

    9)

    g(

    x)

    x

    10)

    f (

    x)

    x

    11)

    h(

    x)

    x

    12)

    h(

    x)

    x

  • n z2m0D122e 7Kru1tCaD eSzoQfUtiwgaLrMeN ELML9Ct.f c dAxldl8 irviCgXhutMs8 GrmeEsbeVrbv0eddi.n b PMuaHdxep HwfiOtihn QIgnTfRiRnUiKtNeg ZASlTgxe7barmaA e2L.8 Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 11)1)

    t 2)

    x

    x 3)

    t 4)

    a5) 6) 7) 8)

    9)

    g(

    x)

    x

    10)

    f (

    x)

    x 11)

    h(

    x)

    x

    12)

    h(

    x)

    x

  • F K270R1H27 fKOuDtTaR eSNoCfOtqw2a1rxez 0LPLEC0.i t xANlcl9 FrjiDgjhytRsk Grue4sCeDrlv4evd6.W q eMVa1djed ew6iTtuhW UIknkf3i0nciHtges DAZlqgHeobfrOab X2m.e Worksheet by Kuta Software LLC

    Math IVID: 12

    Name___________________________________

    Date________________a w2m0W1i2G sKFu4tAa7 FSHo2fctzwBaXrjeO KL2LgCQ.1 2 vAWlplp JrkizgEh9t3s6 ArGess7e0rKvFe0df.QComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    h(

    a)

    a

    g(

    a)

    aFind (

    h

    g)(

    a)

    2)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    3)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)(

    n)

    4)

    f (

    t)

    t

    t

    g(

    t)

    tFind (

    f

    g)(

    t)

    5)

    g(

    n)

    n

    f (

    n)

    n

    nFind (

    g

    f )()

    6)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    7)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)()

    8)

    f (

    x)

    x

    x

    g(

    x)

    xFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x 10)

    f (

    x)

    x

    11)

    f (

    x)

    x12)

    f (

    x)

    x

  • D g200s1F2u 2KWu6t1aY tSvoFf6tPwZa6rEem 9LOLvCy.E f MAololx qrCiqg4h3t6ss Vr7eBs9ezrBvGesdi.K 8 YMza6ddeC Zwui3tvhi 0IangfGi5n5iNtBeD iAMlPgoeAbyrxaz f2c.c Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 12)1)

    a 2)

    x 3)

    n

    n 4)

    t

    t5) 6) 7) 8) 9)

    f (

    x)

    x 10)

    f (

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • Y 82a0r1i26 PKJu5tyaF KS1o0f7t5wqaJr4es FLULrCD.y W TAWlil4 Kr9iRgThVtZsI NrNejsEeprEvgegdI.n l tMfamdOeM 8wZimtrhp GItnBfPi9nDiHtyeN AA9lwg9evbkrqaa b2W.n Worksheet by Kuta Software LLC

    Math IVID: 13

    Name___________________________________

    Date________________1 g2o0r1Q27 yKvuVtMa4 ISlorfttcwKarrOeg xLcLRCs.5 U WAblBlS ZrmiZgJhbtqse nr3eksyeFrIvEe1d4.oComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    2)

    f (

    n)

    n

    n

    g(

    n)

    nFind (

    f

    g)(

    n)

    3)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)(

    n)

    4)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)(

    n)

    5)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)()

    6)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)()

    7)

    h(

    t)

    t

    g(

    t)

    tFind (

    h

    g)()

    8)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)()

    Find the inverse of each function.

    9)

    g(

    x)

    x10)

    f (

    x)

    x

    11)

    g(

    x)

    x

    12)

    g(

    x)

    x

  • s j2n0P1E2O RKhu1tuaw eSfomfptRwSaor2eF QLELKCu.8 l GAtl6lg frQiaglhatMsT KrPeSsmeVrevEeedI.V 7 PMxakd0eU KwZiCtJhY rIfnTfCisnqiDtteV rAalYgqeKbsrcag 32L.r Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 13)1)

    x 2)

    n

    n 3)

    n 4)

    n

    n5) 6) 7) 8) 9)

    g(

    x)

    x 10)

    f (

    x)

    x

    11)

    g(

    x)

    x 12)

    g(

    x)

    x

  • T N2q061R2l WK5uCtZaF vSGotfutiwiaBruef 1LuLDCn.p q GAElYlZ Tr3imgHh4t9se lrWeMs9eSr5vlecdP.t U QMOa2dleE CwGiftYhX MIWnZfFiVnTiAtReg aA1lMgLePbMrpaF r2g.y Worksheet by Kuta Software LLC

    Math IVID: 14

    Name___________________________________

    Date________________6 q2o0Y1A2k rKFuytHa4 JSnoTfWtpwaamreew WLuLMCx.g I HAIlElG OrziWgthJtIsN NrjeCsyeyriv2eFdS.iComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    x)

    x

    h(

    x)

    x

    xFind (

    g

    h)(

    x)

    2)

    g(

    n)

    n

    f (

    n)

    n

    nFind (

    g

    f )(

    n)

    3)

    h(

    n)

    n

    g(

    n)

    n

    nFind (

    h

    g)(

    n)

    4)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)(

    x)

    5)

    g(

    t)

    t

    t

    f (

    t)

    tFind (

    g

    f )()

    6)

    g(

    a)

    a

    f (

    a)

    a

    aFind (

    g

    f )()

    7)

    f (

    t)

    t

    t

    g(

    t)

    tFind (

    f

    g)()

    8)

    f (

    t)

    t

    g(

    t)

    t

    tFind (

    f

    g)()

    Find the inverse of each function.

    9)

    g(

    x)

    x

    10)

    g(

    x)

    x

    11)

    g(

    x)

    x 12)

    f (

    x)

    x

  • n f2D0i1I2Z VKdu8tzaE XSfoNfWtRwhadrOe4 3LULfCM.t a mAElXlq IrHiPg5hEtFsm UrJecsDeEr0vYeNdl.1 9 KM0aZdxeh BwGiZtShc RIvn0friHnqiytmeZ cAGlEgDeHbcr8am C2Y.D Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 14)1)

    x

    x 2)

    n

    n 3)

    n

    n 4)

    x5) 6) 7) 8) 9)

    g(

    x)

    x 10)

    g(

    x)

    x

    11)

    g(

    x)

    x 12)

    f (

    x)

    x

  • 1 c2T0w1z2o XKYuZt3aG ISMoTfwtuwyaBrIeU ELULUCw.O e gAGlel8 4rxisglhftss1 Br2eas9eNrhvBeidu.W o zMxaMd3eA Yw4iat1hC eI5n3f5i1nfiytyew AAGligPeUbbrXa9 O2K.s Worksheet by Kuta Software LLC

    Math IVID: 15

    Name___________________________________

    Date________________k Q260s1h2m 6KsumtEa5 XSBo6fltpwGaerneJ YLgLbCh.s V wAmlllp 9rjiEg5hAtesE GrMeMsHeiryvjeOdu.lComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)(

    x)

    2)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)(

    n)

    3)

    f (

    x)

    x

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    4)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)(

    n)

    5)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    6)

    h(

    a)

    a

    g(

    a)

    aFind (

    h

    g)()

    7)

    g(

    x)

    x

    x

    h(

    x)

    xFind (

    g

    h)()

    8)

    g(

    x)

    x

    h(

    x)

    x

    xFind (

    g

    h)()

    Find the inverse of each function.

    9)

    f (

    x)

    x

    10)

    h(

    x)

    x

    11)

    g(

    x)

    x

    12)

    f (

    x)

    x

  • s 82z0D1M2E iKwu3tCac hSfoHfptvwhasrBe6 FL7LoCa.Z 7 KA9l9lA ArKiKgUhFtkso wr7efsGeCrwvMeOdV.o d bMPaFdueX MwnictJha pIMnhfAienIistFeb BAIlOg5ekbYrkaU x2y.0 Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 15)1)

    x 2)

    n 3)

    x

    x 4)

    n5) 6) 7) 8) 9)

    f (

    x)

    x 10)

    h(

    x)

    x 11)

    g(

    x)

    x

    12)

    f (

    x)

    x

  • X C2W0d1H2m lKEu2tnaK zS7o7fhtGwbalrpek aLKLOCe.T B fA8lKl0 krkiNgWhMtIsT erTebsUeFrVveeCdw.F c SMzaHd1eF Gwqimtphu yI8nYfYifnuiEtkei cAblng9e8bKrLax 12x.R Worksheet by Kuta Software LLC

    Math IVID: 16

    Name___________________________________

    Date________________M X2k0o1826 2KIuItRaH 1SloVfat4wSaTrXe1 oL3LrCI.l v LAalKlY jrSisgbh9t9sO prue5seeIrovxeedf.LComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    a)

    a

    h(

    a)

    aFind (

    g

    h)(

    a)

    2)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)(

    x)

    3)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    4)

    g(

    x)

    x

    f (

    x)

    x

    xFind (

    g

    f )(

    x)

    5)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    6)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)()

    7)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    8)

    f (

    n)

    n

    n

    g(

    n)

    nFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x

    10)

    f (

    x)

    x

    11)

    g(

    x)

    x

    12)

    g(

    x)

    x

  • 2 y2X0X1W2S 3KyudtPaj WSwoafvtrwjaErAeG mLdL4C7.o E uAllzlL 8rJi4gRhftDsJ prdetsJeBrHv2eJdf.O m PMsavdyeN JwAiEthhi SIGnlflitn6iktsen gALl4gveBbBrjaR 22p.S Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 16)1)

    a 2)

    x

    x 3)

    x

    x 4)

    x

    x5) 6) 7) 8)

    9)

    f (

    x)

    x 10)

    f (

    x)

    x

    11)

    g(

    x)

    x 12)

    g(

    x)

    x

  • C M2k0L1r2P pK7uytma5 lS5opf5tKwBafrPeL KLcLCCu.a 9 lA4lelz UrJiwgPhDtfsD ZroeOs4ecrrvzeydR.r O LMcaXd5eY EwuiCtWhW sI8nvfriDnliZtJe6 SAQlAgfeDbLrQaO 02M.U Worksheet by Kuta Software LLC

    Math IVID: 17

    Name___________________________________

    Date________________R y2g0J1v2R AKtubtEan KSOoIfktvwRanrxeH jLCLNCE.v i 4A8lOli Wr2irgdhatlsU vrteNsEeorFv0ebdG.QComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    2)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)(

    n)

    3)

    g(

    n)

    n

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    4)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)(

    t)

    5)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)()

    6)

    g(

    x)

    x

    x

    f (

    x)

    xFind (

    g

    f )()

    7)

    h(

    n)

    n

    n

    g(

    n)

    nFind (

    h

    g)()

    8)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x

    10)

    g(

    x)

    x

    11)

    g(

    x)

    x

    12)

    g(

    x)

    x

  • A X2Q0E1G2v RK1uOtvac vSDoSfXt8wPakr7ex sLJLRCP.a M MA6lWlx erviUgdhot1sU 7rPelsCebrPvaeId1.p G eMxaKdye8 iw5iEtEhq oICn1f0i0n5iftXel QAmlmgceWbFrkak I2t.x Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 17)1)

    x 2)

    n

    n 3)

    n

    n 4)

    t

    t5) 6) 7) 8) 9)

    f (

    x)

    x 10)

    g(

    x)

    x

    11)

    g(

    x)

    x 12)

    g(

    x)

    x

  • t B21001Z2H WKpuDtoaM xS0okfAtew1aprieT kLZLECp.P B tASlylP trSiRgFhWt6sA MrNeHsme3revIecdl.u C PM3amdfeA 8wjirtshR FIwnBfTiAnai4tmez 5A5l6g7evbfrhar H24.6 Worksheet by Kuta Software LLC

    Math IVID: 18

    Name___________________________________

    Date________________y b2O0z1322 eKnuRtva8 gS1oafitJwRamreep XLULbCf.L o 8Azl0lr lr9iVgxhctVs2 NrBegsqerr5vPeXdD.MComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)(

    x)

    2)

    g(

    a)

    a

    f (

    a)

    a

    aFind (

    g

    f )(

    a)

    3)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)(

    n)

    4)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    5)

    g(

    a)

    a

    f (

    a)

    a

    aFind (

    g

    f )()

    6)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    7)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    8)

    h(

    x)

    x

    g(

    x)

    x

    xFind (

    h

    g)()

    Find the inverse of each function.

    9)

    g(

    x)

    x10)

    g(

    x)

    x

    11)

    g(

    x)

    x 12)

    f (

    x)

    x

  • v X2C09132U LKUu9t6ap yS3oIfBtCwgagrNem GLOLkCw.5 B 0AClJlG Wr5idgzhutKsG vrzeKsye1r3v9eTda.5 T 6Mjaudfe0 2w8i5txhy VIHnFfaikn9iDtUeY 4AclAgSexb1roaK I2Q.I Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 18)1)

    x

    x 2)

    a

    a 3)

    n 4)

    a5) 6) 7) 8)

    9)

    g(

    x)

    x

    10)

    g(

    x)

    x

    11)

    g(

    x)

    x

    12)

    f (

    x)

    x

  • R s2s081e2O rKHu4tlaC gS0o1fXt8wUabrMeW vLoL8CK.8 t cA6lulN zrmiWg7hst5sg ir3eEsHeUr0vretdk.C 9 oM7azdLec wwhiEtqhv fIGn3fIiDn3iKt4eD MAgleghevbKrLay I2W.Y Worksheet by Kuta Software LLC

    Math IVID: 19

    Name___________________________________

    Date________________4 U2v0I1e2j KKyuutEan bSFoJfStOwhaIrOeS vLKLNC4.L 3 wAwlulw ProiagnhutlsP Zr1eVs4exrgvbewdi.XComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )(

    x)

    2)

    g(

    t)

    t

    h(

    t)

    tFind (

    g

    h)(

    t)

    3)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)(

    x)

    4)

    g(

    n)

    n

    f (

    n)

    nFind (

    g

    f )(

    n)

    5)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    6)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    7)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)()

    8)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    g(

    x)

    x

    11)

    f (

    x)

    x12)

    f (

    x)

    x

  • d L230B1b2I hKAuJtVa4 jSXoBf1tewmaErZe3 uLvLuCa.r 7 BAnlnlm brvipgdhNtzsi prWe5swezrlvneudO.9 0 6M4afdSei wwJiqtmh4 CIpndfUiYnqiMt9eb 7AGlngxeXbzrLab T29.B Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 19)1)

    x 2)

    t 3)

    x4)

    n

    n

    n 5) 6) 7) 8) 9)

    f (

    x)

    x 10)

    g(

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • X 22l0U1s2n CKNustAaV tScoxfYtYwVa0r8e0 pLML2Cv.J c zAgl6l4 Jr8iUgThvtIsO 7r5ePsqeLrhvBeedT.9 V oMlaOdFeK XwAiMtwhj 0Imnpf4iBngiQtxeC JAQlcgfeDbTrSaA L2O.M Worksheet by Kuta Software LLC

    Math IVID: 20

    Name___________________________________

    Date________________0 g2t0o1B2L BKeu4tVay mSyoXfUtVwGalrBev ILZLcCR.y w 7AFlol2 LrFiIglhwtdsC 7rNeXsDe9rUvLeZdb.QComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)(

    x)

    2)

    g(

    n)

    n

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    3)

    g(

    n)

    n

    f (

    n)

    n

    nFind (

    g

    f )(

    n)

    4)

    h(

    n)

    n

    g(

    n)

    n

    nFind (

    h

    g)(

    n)

    5)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    6)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)()

    7)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    8)

    g(

    a)

    a

    h(

    a)

    a

    aFind (

    g

    h)()

    Find the inverse of each function.

    9)

    g(

    x)

    x 10)

    f (

    x)

    x

    11)

    f (

    x)

    x 12)

    f (

    x)

    x

  • X a2t071f2Z wKNuutQaz WSLoQfCtOwcaXrreq KLaL5CN.8 i ZAFlWlR erNicgChytKsf JrvehsgemrevJeNdJ.b j MMGa8d5eT Bw7istwhv KITnGfJinn0iltueN UAnlWgaeBbYrcaf N2k.Z Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 20)1)

    x

    x 2)

    n

    n

    n 3)

    n

    n4)

    n

    n 5) 6) 7) 8)

    9)

    g(

    x)

    x

    10)

    f (

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • D K2k0n1Y24 QKDuNt2aV ISioWfHtUwHayrmeH HLKL0CL.d V XArlslH RreiDgkhBtbsr krheOsWezrLvNePdf.D Q wMlaSdBeZ RwUi6tohu sIOnAfeiMn2i3theF HANlng3e9bYrZaA A2b.h Worksheet by Kuta Software LLC

    Math IVID: 21

    Name___________________________________

    Date________________g m2W0A1g21 2KguRtqaI 3SfoAfNtJwRavryeM JL7LDCz.C a pAdl7l5 VrZiHg6h1tdsX Xrqeeseeerrvbevdk.WComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    2)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)(

    n)

    3)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    4)

    h(

    t)

    t

    g(

    t)

    t

    tFind (

    h

    g)(

    t)

    5)

    f (

    a)

    a

    a

    g(

    a)

    aFind (

    f

    g)()

    6)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    7)

    g(

    t)

    t

    t

    f (

    t)

    tFind (

    g

    f )()

    8)

    h(

    n)

    n

    g(

    n)

    n

    n

    Find (

    h

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    f (

    x)

    x

    11)

    h(

    x)

    x12)

    f (

    x)

    x

  • l Q2v0E1Z2P JKCuxthai CSNoZfXtbwGaPrEea ELeL5Co.h B QAzlkln MrqiXgIhPtDs5 3r1eusGeVrPvQeddO.2 C mMbaZd6ej TwaiIt9hN xI0nufUiOnLietAeB DANlVgzexb9reas B2v.b Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 21)1)

    n 2)

    n 3)

    x 4)

    t

    t5) 6) 7) 8) 9)

    f (

    x)

    x 10)

    f (

    x)

    x

    11)

    h(

    x)

    x

    12)

    f (

    x)

    x

  • t T2f0a1Y2v zKluUtDak oSEodfntxwhaLrFe2 fLRL4Ci.N T MAKlulT nrgiFgkhAt7so irHevsHeUrVvQeCdY.3 T LMwaOdpea qw0iFtFhQ 3ILn1fIiCnCi1t7e7 IAolmgxeobgrCaP b2u.S Worksheet by Kuta Software LLC

    Math IVID: 22

    Name___________________________________

    Date________________E x2i0R1Y2G VKhuFt0a6 fS1oPf1tNwtaZrnet oLmLoCZ.k s RAblPlc tr3ingVh8tasJ Kr2ewsqeTrvvvecdY.0Composite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    x)

    x

    f (

    x)

    x

    x

    Find (

    g

    f )(

    x)

    2)

    g(

    x)

    x

    f (

    x)

    x

    x

    Find (

    g

    f )(

    x)

    3)

    f (

    x)

    x

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    4)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    5)

    g(

    x)

    x

    h(

    x)

    x

    xFind (

    g

    h)()

    6)

    g(

    t)

    t

    t

    h(

    t)

    tFind (

    g

    h)()

    7)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    8)

    g(

    a)

    a

    f (

    a)

    aFind (

    g

    f )()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    f (

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • k w2b0V1R21 oKvu5tyaP ASpoGfctkwbadrdep BLdLVCD.i T 5AGlila dryi1gHhathsF 5r6epsAeWrpvtende.n u CMsaidGeF vwXi3tnhW 3IknEfXivntiJtAeG UAxlegge0byrxah T23.K Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 22)1)

    x

    x 2)

    x

    x 3)

    x

    x

    x4)

    x 5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    f (

    x)

    x 11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • Z 32p0D1I2D SKBuEtcaY 5SAoMfzt6weaErFe4 vLQLRCn.J h PABlAlC jrbiMgPhLtNsf 8rUepsbeorivkeGdT.Q G dMUaQdyeF 4w7iptOhE 5Idnufxi3nsiZt3ed 3ATl7gUeYb6rGa9 A2e.5 Worksheet by Kuta Software LLC

    Math IVID: 23

    Name___________________________________

    Date________________8 72W0I1t2z XKlu7tuaE 5ShoMfUtRwQawrper AL0LqCq.2 X VABlxlA frQiPgshMt4sQ YrneMsueHr7v4e1dY.TComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)(

    x)

    2)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)(

    x)

    3)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)(

    n)

    4)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)(

    x)

    5)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    6)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    7)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)()

    8)

    g(

    t)

    t

    f (

    t)

    t

    tFind (

    g

    f )()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    h(

    x)

    x

    11)

    f (

    x)

    x

    12)

    h(

    x)

    x

  • x m24021b22 iK2u1tXak SSBoffZtiwHajr3eP jLZLbCQ.F 2 pAhlZlN 0rricghh5tysj BrBess0exrRvUeudU.y k RM5a1dUeG Rw5ijtqhz IIWn7fViCn0iEtqeO TAhl2gyefbFrCat E2v.u Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 23)1)

    x 2)

    x 3)

    n 4)

    x5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    h(

    x)

    x

    11)

    f (

    x)

    x 12)

    h(

    x)

    x

  • t A27011x2Z OK9uMt5ao 3Smo2fQt9w1aXreeN yLYLDC1.l f FAslHlY xrRimgnh3t3s2 JrIepsJe0rmvAeddP.B a tMkacdXew OwSi3tfh8 II9nkfKiqnciNtJeS hASlzg4egbIr7ai W2N.6 Worksheet by Kuta Software LLC

    Math IVID: 24

    Name___________________________________

    Date________________7 N270x1h2n 9Kxu9tGaB fShoqfqtCwPaDrpeJ ULkLkCK.c g 1A9lIlh TrPiagdh2t0si nrKeVsSejrSvTe0dm.wComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    h(

    n)

    n

    g(

    n)

    n

    nFind (

    h

    g)(

    n)

    2)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)(

    x)

    3)

    f (

    n)

    n

    g(

    n)

    n

    nFind (

    f

    g)(

    n)

    4)

    g(

    n)

    n

    f (

    n)

    nFind (

    g

    f )(

    n)

    5)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    6)

    f (

    x)

    x

    x

    g(

    x)

    xFind (

    f

    g)()

    7)

    g(

    n)

    n

    f (

    n)

    n

    nFind (

    g

    f )()

    8)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    Find the inverse of each function.

    9)

    g(

    x)

    x 10)

    f (

    x)

    x

    11)

    f (

    x)

    x

    12)

    h(

    x)

    x

  • f m2V0b1c2T DKeuutCaC gSvoZf0tHwnadrFe4 qLRLxCC.D B WAglzlZ Pr6ifgkhntPs7 VrYensVerr6veeNdp.t 0 4MTaydgeC AwOiAtkhx 5IInvfIixnFiHtBeR hAcl2greBberpay 42P.8 Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 24)1)

    n

    n 2)

    x 3)

    n

    n 4)

    n5) 6) 7) 8) 9)

    g(

    x)

    x 10)

    f (

    x)

    x 11)

    f (

    x)

    x

    12)

    h(

    x)

    x

  • U t2E031u2L CKLuRtOaP CSXoLfstVwRaCraeI OLHLCC6.L q hAalule 0rVi4gyhztes3 XrYevsTeqrFvteMdJ.8 x zM0avdEep bwVi2tbho XICnVfCi1nZiUtIe8 VAWlNgIe8bArmat L2u.o Worksheet by Kuta Software LLC

    Math IVID: 25

    Name___________________________________

    Date________________e W2e091h2I FKQuhtlaa ySTonfttAwaaorgeY mL9LDCm.d a DAGlNl5 ur7iGgWhZtdsA Frte3skelrrvPeodW.IComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    h(

    n)

    n

    g(

    n)

    n

    nFind (

    h

    g)(

    n)

    2)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )(

    x)

    3)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)(

    t)

    4)

    g(

    t)

    t

    h(

    t)

    t

    tFind (

    g

    h)(

    t)

    5)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)()

    6)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)()

    7)

    f (

    a)

    a

    a

    g(

    a)

    aFind (

    f

    g)()

    8)

    h(

    n)

    n

    g(

    n)

    nFind (

    h

    g)()

    Find the inverse of each function.

    9)

    g(

    x)

    x10)

    f (

    x)

    x

    11)

    f (

    x)

    x12)

    h(

    x)

    x

  • 2 L2A04192u QKZuLtNaI PScomfRt2wmaUr1eA 7LkLaCC.8 7 XAQlVl4 fr2iRgKhxtSsi qrkeFs5egr0vZesd5.Y a 0McaMdOe4 Zw9iHtYhb LIJnhfci5nbiwtUeZ fAKlkgjebbtrRas 42i.B Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 25)1)

    n

    n 2)

    x 3)

    t 4)

    t

    t5) 6) 7) 8)

    9)

    g(

    x)

    x 10)

    f (

    x)

    x

    11)

    f (

    x)

    x

    12)

    h(

    x)

    x

  • t 6260L1E2c YKwudtTaB 3SnoRf4thwCa5rNec 5LDLkCb.V n bAMlLl3 rrUiXguhRtqs0 sraeNsbe2rcvCewdQ.x b 8MBaQdseJ JwtiktKhH zI0nQfainnmiHtwel zA8ldgAeVbYrxaG i28.8 Worksheet by Kuta Software LLC

    Math IVID: 26

    Name___________________________________

    Date________________4 E2m0N1A26 1KZuTtsa3 bSsolfUtjweabrReU vLMLoCt.f x QAhlql1 ZrxiOgehKtpsn 5rMezs7e9rGv2eQdl.qComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    a)

    a

    f (

    a)

    aFind (

    g

    f )(

    a)

    2)

    h(

    t)

    t

    t

    g(

    t)

    tFind (

    h

    g)(

    t)

    3)

    h(

    x)

    x

    g(

    x)

    x

    xFind (

    h

    g)(

    x)

    4)

    f (

    a)

    a

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    5)

    h(

    x)

    x

    g(

    x)

    x

    xFind (

    h

    g)()

    6)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)()

    7)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)()

    8)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    f (

    x)

    x

    11)

    h(

    x)

    x12)

    f (

    x)

    x

  • d o280H1q2G SK1u8t7ac GSMoBfXtKwHaurreS LLULwCF.y a ZAzlylw LrgiqgRhstasW nrQebsReNrsvueAdC.Y r 3MPagdxeK AwLiOtgh3 vIOn3fwiAn9imt6eQ OARlVgQepbHrhah q2n.c Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 26)1)

    a 2)

    t

    t 3)

    x

    x 4)

    a

    a5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    f (

    x)

    x 11)

    h(

    x)

    x

    12)

    f (

    x)

    x

  • C 72u0e1X2J HK7uqtOaL oSPoBfxtEwEajrleK BLlLXCW.N t 9AVlAlD 2raiNgShTtFsI yrsepsie3rcvBeSdB.Y t qM3agd1eZ 5wxiKtchu KINnTfriWnvint5ek KAXl0gzevbwrtal H2N.5 Worksheet by Kuta Software LLC

    Math IVID: 27

    Name___________________________________

    Date________________B l2X0f1A2Z oKVu1tKa4 QSRoFfTtKwQawrGer sLxLXCV.a W yAKlXlv 5rbiJgnhAtDsd prceksuefrDv3eMdN.0Composite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)(

    n)

    2)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    3)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    4)

    h(

    x)

    x

    x

    g(

    x)

    xFind (

    h

    g)(

    x)

    5)

    h(

    n)

    n

    g(

    n)

    n

    nFind (

    h

    g)()

    6)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)()

    7)

    g(

    x)

    x

    f (

    x)

    x

    xFind (

    g

    f )()

    8)

    g(

    t)

    t

    f (

    t)

    t

    tFind (

    g

    f )()

    Find the inverse of each function.

    9)

    f (

    x)

    x 10)

    f (

    x)

    x

    11)

    g(

    x)

    x12)

    h(

    x)

    x

  • 5 b2P001a2z qKbuZtiaN US7oSfctZwmavrHew yLdLiCZ.b l 3AAlElS erfiogmhxt4sg Xr4eOsPeir7vXetdu.9 n uMsaWdtew GwVivtihT wI2nmf6iKnqiutweN zAfl1gpeIbnrSa1 42S.j Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 27)1)

    n 2)

    n 3)

    n4)

    x

    x

    x 5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    f (

    x)

    x

    11)

    g(

    x)

    x 12)

    h(

    x)

    x

  • t 5250Y1S2u CK6uNt7an LSAoZfwtww5a2r1en mLoLyCX.j A jAnlSlZ TreihgMhkt6sX CrOetsFePrsvIeAdV.3 3 WM9aIdOed SwdiCtMhT mIKn5fvipnGijt5ed aAzlGg7eLbarea2 y24.0 Worksheet by Kuta Software LLC

    Math IVID: 28

    Name___________________________________

    Date________________A F2J081X2o DKxuftJaU CSRoOfOtVwIa9rYeZ 2LpLzCh.q W WAklelX 3rqibgkh5t7sk nrjelsYeorSvGe2d6.cComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    t)

    t

    t

    g(

    t)

    tFind (

    f

    g)(

    t)

    2)

    g(

    x)

    x

    h(

    x)

    x

    xFind (

    g

    h)(

    x)

    3)

    g(

    x)

    x

    f (

    x)

    x

    xFind (

    g

    f )(

    x)

    4)

    g(

    n)

    n

    n

    f (

    n)

    nFind (

    g

    f )(

    n)

    5)

    g(

    n)

    n

    h(

    n)

    n

    nFind (

    g

    h)()

    6)

    g(

    n)

    n

    h(

    n)

    n

    nFind (

    g

    h)()

    7)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)()

    8)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    g(

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • x y2y0a1l2J HK1uGt0aO gS3okfKtgw5aNrReH hL5L9CM.V D AArlxlJ crBilg5h7tks1 mrqeSsneYrYvleQdH.h I zMdaWdIeF CwaiLtBhk 5IPn4fpiKnEiytkeo nAkl9g5eeb3rsaV s22.X Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 28)1)

    t

    t 2)

    x

    x 3)

    x

    x 4)

    n

    n5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    g(

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • x O2z0K1w2g zKFuhtLaw XSKowfBtRwVamrWeh sLILtCk.R R cANlDlI HrGilgchTtZsh Cr0eps0e0rkvee4dp.B 1 6MmaNdweK 5wBiAtahp MIUnofxiNnwiktIeH 3AYlDgEeLbBrxan 92N.k Worksheet by Kuta Software LLC

    Math IVID: 29

    Name___________________________________

    Date________________T G2o0J1l28 2KquvtTaS hSWohfYtAwmaJr4ee fLYL3C3.2 j WATlklt br0iWgsh2tOsK Kr8eushe1rKvIe1dZ.KComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )(

    x)

    2)

    g(

    a)

    a

    a

    h(

    a)

    aFind (

    g

    h)(

    a)

    3)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    4)

    g(

    n)

    n

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    5)

    f (

    a)

    a

    a

    g(

    a)

    aFind (

    f

    g)()

    6)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)()

    7)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    8)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x 10)

    g(

    x)

    x

    11)

    f (

    x)

    x12)

    g(

    x)

    x

  • Y M2q0v1428 rK4uNtSa1 KSAoHfAtFwUatrRec XLDL8CQ.W f CAVlvlN gr8i3gDhutps4 urOeFs8e5rfv0eCdy.A b hMTahdeet 3wGi5tChW gIlnVfziun8iqt7ei SAzlQg2exbxriaL C2A.n Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 29)1)

    x

    x

    x 2)

    a

    a

    a 3)

    n4)

    n

    n 5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    g(

    x)

    x

    11)

    f (

    x)

    x

    12)

    g(

    x)

    x

  • T i2N0u1b2j 0KKu6thar dSJoXfitPwIagr2ey BL4LbCx.K P GADl7lg Zr7iogmhWtKsZ Rrre9sveprBvxeFdP.r d CMra3dveV fw2i5tyhT 9Ibn0fVifnCiVtseb WAdlYg8efbxrOar L2I.3 Worksheet by Kuta Software LLC

    Math IVID: 30

    Name___________________________________

    Date________________g b2U0v1I2x LKAuXtGaS lS3oCf4tAwnaur9eS oLDLNCZ.L z 5AUlSlI qrHiPgFhqt8sE trPeXs1eLr6vJeldL.VComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    t)

    t

    h(

    t)

    tFind (

    g

    h)(

    t)

    2)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    3)

    h(

    a)

    a

    g(

    a)

    aFind (

    h

    g)(

    a)

    4)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    5)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    6)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    7)

    g(

    t)

    t

    h(

    t)

    tFind (

    g

    h)()

    8)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    f (

    x)

    x

    11)

    g(

    x)

    x

    12)

    f (

    x)

    x

  • y y2J0B1a2W lKjuitNaT ZSoolfetrwOaXrNeR NLuL2C2.M 3 qAWlslX Vrkidgfhzt9sh crwetskesrHvoeSdj.4 D 6MgaWdjem SwqiWt2ha 2I2nJfQiQnCixtHeu BAVlzg7eDbHrdac V2I.d Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 30)1)

    t

    t 2)

    a 3)

    a 4)

    n

    5) 6) 7) 8)

    9)

    f (

    x)

    x 10)

    f (

    x)

    x 11)

    g(

    x)

    x 12)

    f (

    x)

    x

  • 6 q280v1J2n 3KTuCtDaF uSZojfZtjwJa0r7e4 5LpLMC2.7 9 zATlIlb prQimg0h2tTsd KrVeAshePrrvmetdD.V f rMwa9dRe3 lwVi3tQhE 0ITnifhiTnViht7eC 3AUl3gieibzraar E2m.n Worksheet by Kuta Software LLC

    Math IVID: 31

    Name___________________________________

    Date________________L Q2z0d1D26 XK5uHtgat YSVobf0t7wEaCrseU rLYLSCI.u k dAulelj QrtiSgCh7tKsP OrQeFsde5rRvceMdW.iComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    h(

    x)

    x

    x

    x

    g(

    x)

    xFind (

    h

    g)(

    x)

    2)

    h(

    x)

    x

    g(

    x)

    x

    x

    xFind (

    h

    g)(

    x)

    3)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)(

    x)

    4)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)(

    t)

    5)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    6)

    f (

    a)

    a

    g(

    a)

    a

    aFind (

    f

    g)()

    7)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    8)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    Find the inverse of each function.

    9)

    f (

    x)

    x

    10)

    g(

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • X A2S0h1v2l dK8ultPaI cS3ocfQt9wuaermeN 7LJL4Cb.f C JA4lIln XrCiagbhmtgsR xrPeDsaeMrOvFetd2.d q CMjaadweL GwTiWt7h6 7IlnTfPiVnOigtZex GAmlxgRekbyrlaF u2O.O Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 31)1)

    x

    x

    x 2)

    x

    x

    x 3)

    x

    x4)

    t 5) 6) 7) 8) 9)

    f (

    x)

    x 10)

    g(

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • 0 a2s0A192I rK8uEtuag FSro1fvt6waadrseQ 5L7LJC7.B 8 6ARlElF 9r7imgeh0tVsV ArXeksaelrev8e8d6.c I TMDaJdneE CwkiMtIhm xIUngfiiEnviqtSe2 uA0lagMenbRr5aM q23.l Worksheet by Kuta Software LLC

    Math IVID: 32

    Name___________________________________

    Date________________T t2g0J1l2V HKauKt1aP fSSoffRt8wwaardeG YLbLfCC.1 7 eAPlPln lrri3gFhUtGsS OrNeFsVefrmvIeYdk.6Composite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    x)

    x

    g(

    x)

    x

    xFind (

    f

    g)(

    x)

    2)

    g(

    x)

    x

    f (

    x)

    x

    xFind (

    g

    f )(

    x)

    3)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    4)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )(

    x)

    5)

    g(

    a)

    a

    a

    h(

    a)

    aFind (

    g

    h)()

    6)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)()

    7)

    f (

    x)

    x

    g(

    x)

    x

    x

    Find (

    f

    g)()

    8)

    h(

    t)

    t

    g(

    t)

    tFind (

    h

    g)()

    Find the inverse of each function.

    9)

    g(

    x)

    x 10)

    f (

    x)

    x

    11)

    f (

    x)

    x

    12)

    g(

    x)

    x

  • R j2H0w1q25 hKXuAtlay 4SMoJf9t9wAaIrHef kLPLJC3.X S rAulSl5 ur7iGg9hktUs7 3rSeus9earEvqesdH.H 8 qMEazdsek ywbiztThN HI8n3fSiTn5iatkeM FAUlWgoeebSrZa2 D2u.j Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 32)1)

    x

    x 2)

    x

    x 3)

    a

    a

    a4)

    x 5) 6) 7) 8)

    9)

    g(

    x)

    x

    10)

    f (

    x)

    x 11)

    f (

    x)

    x

    12)

    g(

    x)

    x

  • 7 w2M0p1u2d pKgurtSae ISyo1fItswTaKrie5 QLoLuCL.A y 3AMloll Fr1iqgzhMtBs7 ErUexsJenr8vdeYdf.D l tMEardTex 2wLiBtBh7 ZIZnNfniTnoistxeu jAUlFgEembDrhaq H22.R Worksheet by Kuta Software LLC

    Math IVID: 33

    Name___________________________________

    Date________________w 62C0r1I21 KKFuitraE WSBomf3tLw0anr3eW 2LJLOCY.3 3 LAul6lg ZrLiJghhftYs5 BrDe3sveHr7vweZdf.NComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    t)

    t

    t

    h(

    t)

    tFind (

    g

    h)(

    t)

    2)

    g(

    a)

    a

    h(

    a)

    aFind (

    g

    h)(

    a)

    3)

    g(

    t)

    t

    h(

    t)

    t

    tFind (

    g

    h)(

    t)

    4)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    5)

    g(

    a)

    a

    h(

    a)

    aFind (

    g

    h)()

    6)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)()

    7)

    h(

    a)

    a

    g(

    a)

    aFind (

    h

    g)()

    8)

    g(

    n)

    n

    f (

    n)

    n

    nFind (

    g

    f )()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    h(

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • 8 C2o0a1w2K uKDuOtwa6 LS7onfYtnwoaAr6eQ VLKLJC8.T f rAVl9ls lrwidgKhrtRsi br4eusXelrFvTezdE.H 5 dMlapdZeH 6wQiyt0hl RI8nkf2ignwidtneI IA4lAgoePbGrla0 q2x.w Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 33)1)

    t

    t 2)

    a

    a 3)

    t

    t 4)

    n

    n5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    h(

    x)

    x 11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • N O2T0n1v2V oKsu2tqap TScoUfNtJwvahrWeN TLfLNCi.C 4 GAZlflR DrwiJgGhptrss HrVelsPegrDvheHdm.B d eMWa0d1eC AwyiMtqhy 1IOnTfXiinZiht0eI PAUl7gCeUbdr5aP z2W.7 Worksheet by Kuta Software LLC

    Math IVID: 34

    Name___________________________________

    Date________________p W2T0X1a2S pK6uZteav 8SuoVfctTwXaArde6 ULmLvCl.f X oAMlmlj UrViAguhjtssG irGeOsBe9rtvOePde.AComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    n)

    n

    h(

    n)

    n

    nFind (

    g

    h)(

    n)

    2)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    3)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)(

    x)

    4)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)(

    t)

    5)

    f (

    t)

    t

    g(

    t)

    tFind (

    f

    g)()

    6)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    7)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)()

    8)

    h(

    x)

    x

    g(

    x)

    x

    xFind (

    h

    g)()

    Find the inverse of each function.

    9)

    h(

    x)

    x10)

    f (

    x)

    x

    11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • z t2Q0W1T2m 2KQuLtBaI gSSoPfOtownaZrWeW 8L4LTCE.6 u 1AYlAl1 mrPiKgHhNtYsT Gr7els9etrpvPesd9.v a TMuaLdTei 3wwiYtChF NISn5fliCn7iZt0es xAEljg1elb9rdaG L2F.r Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 34)1)

    n

    n 2)

    n 3)

    x 4)

    t5) 6) 7) 8)

    9)

    h(

    x)

    x

    10)

    f (

    x)

    x 11)

    f (

    x)

    x

    12)

    f (

    x)

    x

  • N 82w0P1123 KKPuetpal TSRoAfGt8wDalreea kLXLUCN.n 0 4ANl8lJ jrjiWgRhatNsh xrdexsve6rGvletdd.t A QM1aZduen UwUittqh4 aIonMfpi0ntiXtPeQ MAklZgteBb8raau n2p.c Worksheet by Kuta Software LLC

    Math IVID: 35

    Name___________________________________

    Date________________7 Y2k0R1k2Q yKXuotnaU kS9okfgtqwranr6er 1LFLiC5.W r UAplFlt UrZiygEhytBsH srKensreYrCv5eddH.tComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    2)

    g(

    n)

    n

    n

    h(

    n)

    nFind (

    g

    h)(

    n)

    3)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)(

    n)

    4)

    f (

    a)

    a

    g(

    a)

    aFind (

    f

    g)(

    a)

    5)

    h(

    x)

    x

    g(

    x)

    x

    xFind (

    h

    g)()

    6)

    h(

    x)

    x

    x

    g(

    x)

    xFind (

    h

    g)()

    7)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    8)

    g(

    x)

    x

    f (

    x)

    x

    xFind (

    g

    f )()

    Find the inverse of each function.

    9)

    f (

    x)

    x10)

    g(

    x)

    x

    11)

    f (

    x)

    x 12)

    g(

    x)

    x

  • S w290A1J2c uKvuvtiaw 3SaoFfPtpwQa0r1eV zL9LkCH.F Y KAflPlC SroihgPhstysR sr9evsfeDrivievd1.V 2 tMwa0dPeN PwGiMtkhF 9Itn7fbirnOiZtTes 4AFlWghewbLrMaN M2x.R Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 35)1)

    a 2)

    n

    n 3)

    n 4)

    a5) 6) 7) 8)

    9)

    f (

    x)

    x

    10)

    g(

    x)

    x 11)

    f (

    x)

    x

    12)

    g(

    x)

    x

  • c W2J0k1m2a MK0umtLa8 WSgoufQtvwuaBrCeS eLnLHCg.A 1 FAJl9lP Br3ipgdhvtwsc CrlejsmeyrOveeLd3.a M WMjaHdoeK SwDiftAhj xIBnAf7iCnjijtleZ mAYlugGeibbrZas J2d.y Worksheet by Kuta Software LLC

    Math IVID: 36

    Name___________________________________

    Date________________k Z290r1R2H CK8uYtna1 aSyosfat6whaTrqeP PLvLiCp.h d 4AplZlr Nr4iOgQhbtssO MrdePsSelrTvJeqdQ.XComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    g(

    n)

    n

    f (

    n)

    nFind (

    g

    f )(

    n)

    2)

    h(

    x)

    x

    g(

    x)

    xFind (

    h

    g)(

    x)

    3)

    h(

    t)

    t

    g(

    t)

    tFind (

    h

    g)(

    t)

    4)

    f (

    n)

    n

    n

    g(

    n)

    nFind (

    f

    g)(

    n)

    5)

    g(

    t)

    t

    h(

    t)

    tFind (

    g

    h)()

    6)

    f (

    a)

    a

    g(

    a)

    a

    aFind (

    f

    g)()

    7)

    g(

    a)

    a

    h(

    a)

    aFind (

    g

    h)()

    8)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    Find the inverse of each function.

    9)

    g(

    x)

    x

    10)

    g(

    x)

    x

    11)

    g(

    x)

    x 12)

    f (

    x)

    x

  • E 22C0m1A2P DKEu4tWaJ hSeonfStswkaZrmeB hLrLDC7.O l JAHlBlY lriiVgFhct8sw rryehsteVrMvzefdj.H s MM7aQd1eK gwQiGtGhj RIZnOfJi8nMiHtUeD pAtlegaeDbjriaE c2L.C Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 36)1)

    n 2)

    x 3)

    t

    t 4)

    n

    n5) 6) 7) 8)

    9)

    g(

    x)

    x

    10)

    g(

    x)

    x 11)

    g(

    x)

    x 12)

    f (

    x)

    x

  • s M2n0M1s2M YKluKtfaK qSWoXfptBwqavrsed pL6LBCd.R a YAdlBls Krniwg9hftos9 XrueYsJegrCvTeTdO.n J zMia3dber 1wqiEtchb dIyndfIiCnKiptaeO vABlGg8eEbAr7af 72C.V Worksheet by Kuta Software LLC

    Math IVID: 37

    Name___________________________________

    Date________________t X2l0o1F2g FKPuituaH FS8oyfltbwFaIrieU XL8LQCE.3 F 6AYlQlM RrTicgthktEsS jr7exsbeWrSvgepdT.XComposite Function; Inverse of a FunctionPerform the indicated operation.

    1)

    f (

    x)

    x

    g(

    x)

    xFind (

    f

    g)(

    x)

    2)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)(

    n)

    3)

    h(

    a)

    a

    g(

    a)

    aFind (

    h

    g)(

    a)

    4)

    g(

    x)

    x

    h(

    x)

    xFind (

    g

    h)(

    x)

    5)

    f (

    n)

    n

    g(

    n)

    nFind (

    f

    g)()

    6)

    g(

    n)

    n

    h(

    n)

    nFind (

    g

    h)()

    7)

    g(

    x)

    x

    f (

    x)

    xFind (

    g

    f )()

    8)

    g(

    x)

    x

    f (

    x)

    x

    xFind (

    g

    f )()

    Find the inverse of each function.

    9)

    g(

    x)

    x

    10)

    g(

    x)

    x

    11)

    f (

    x)

    x 12)

    g(

    x)

    x

  • y s280d1t2t XKouNt4aF WSuo0fCtPw0aerkes pLeLmCT.u L 4AvlHly XrCifgNhgtYs0 8rjeTsiebrGv6eQdh.B q PMXa0dZeA Iw1ibtghW WIfn7fFidnYi0t9eM eA7lEgceBb8rCaG S2f.c Worksheet by Kuta Software LLC

    Answers to Composite Function; Inverse of a Function (ID: 37)1)

    x 2)

    n

    n

    n 3)

    a4)

    x 5) 6) 7) 8)

    9)

    g(

    x)

    x

    10)

    g(

    x)

    x

    11)

    f (

    x)

    x 12)

    g(

    x)

    x