Review for Large Quiz on Funct'ion Operations and ...
Transcript of Review for Large Quiz on Funct'ion Operations and ...
Review for Large Quiz on Funct'ion Operations and Composition of Functions
.r>; Name .l!e.l.1--'---Evaluate.
1. Ifg(x) = ~x+IZ,find)(-10) ~()O)+12 = 3~ +12. =: rHZ.::(ji)
3. If g(x) = 5x' + lZ,find g(4) 5C if).;). + }a. ==5(1(0) + 10l. = Wt-IOl =@4. Ifh(x)= 14-5
13X+C1Sindh(-Z) JLj.- 5 /3h~}t-11 ~jL/- 51-:-lotll_ ,J )-II 14 5 }-61 -I.,-Ei..5
. . ~ )Lj--25
5. If g(x) = 3X',+6X,findg(3) 3C3Y'+ 10(3) = 3(q)+ IB '" 1+18 =000\ 02- OJ.. ~
~6. If hex) = 3x,find h( -4)1 J JJ-' =: BI
IPerform the indicated operation.
7. If f(x) = -3x2 and hex) = 3x2 + 8,find (f - h)(2)
---3Xc;J. - 3X~- ~ .z: -fox~- 8 = -lo(~)~ -8 .z: - It 4-) -5 ==-lif-B~
8. If f(x) = 13x + 41 findl2f( -5) . .
eX 1.3)(+4J1= ;lJ 3(-5) +tf~ '" ~) ·-15+1 == ~~I c:/(JI)
1(' If f(x) = X4 and hex) = x - 6,find (f· h)(-3)
X'f(x-to) z: )(?- W X + = (-3)>=l -Io( -3) +@10. If f(x) = 3x - 4 and g(x) = 2x + 2,find f(g(4))
3 (OlX+J.) -if = loX +10 -+ = /tJX+~ -7 10(1+)+c1{:ftoj11. If f(x) = -2x + 4 and hex) = ~x + 4,Jind h(f(12))
- c1 (I do) +4- :=- -0(4-+4 ~ -d, [)•
~~~~~~~12. If g(x) = -12x2 + 5 and hex) = 5x + 3,find h(g(.S))
.~ rBI'-";-~~". ~M~~' .~,,~, ~2jf:·.~5~-)~2.+~. S~· ~~3~+~';-....:;(
. . (. ) -=::C(J.\+3 ~13. If f(x) = 5x + 7 and!Jx) = 3x + 5,find f(b( -5)) h ~ ) ~
3(-'5J'+S- :::-/S+5' =--JO .5(-/0)t-/ = -5D+7 =@
14. If g(x) = ~x + 6 and hex) = ~x - 2,find (g + h) (x)5 3
d. X+0 +_1 x-~ := -=-5 2> __ IJ .. :1)
~ X +10 +fuX -~ =/3)( -t- /15. If f(x) = 5x2 - 13x + 6 and g(x) = 8x2 + 3x + 2,find (g - f)(x)
£6x.2+ 3~(+L~'-5X~'+ 13X-0@,,) +llox =£)16. If g(x) = 3x2 + 3 and hex) = -2x + 4,find (g . h) (x)
(3X2+3) (-2X+4-) _ .. 3 i . ,;} ~
-loX3 -(oX .~ J ax ~+-l~ - -loX -+ I~X -lo~Solve.
I17. Is g(x) = ~x - 2 the inverse of f(x) = 3x + 67 Show work to justify you answer
. ~ C3X+b)-~X+t9--d.=X ~es,
18. Is g(x) = ~x - 6 the inverse of f(x) = 5x - 3D? Show work to justify Y01Jlranswer
~ [5x-06)-1o'Xv·-to -0 hO
~'- I;;} .