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Homework QuestionsHomework Questions

Domain AlgebraicallyDomain Algebraically

Pre-CalculusPre-CalculusMrs. RamseyMrs. Ramsey

Find the DomainFind the Domain

2y x

2 4y x

Find the domainFind the domain

2( 2)y x

2( 3) 7y x

Find the domainFind the domain

2 6 1y x x

2 4 9y x x

Find the domainFind the domain

3y x

3 22 4 7y x x x

Find the domainFind the domain

y x

8y x

Find the domainFind the domain

2 6y x

4 1y x

Find the domainFind the domain 2 5 6y x x

2 7 12y x x

Rational ProblemsRational Problems 1y

x

32

xyx

More Rational ProblemsMore Rational Problems

2

4

xyx

( 3)( 7)7

x xyx

More Rational ProblemsMore Rational Problems

2

2

42

xyx x

3

2

34

xyx

Rational ProblemsRational Problems 3 5y x 5 6 1y x

Log ProblemsLog Problems log( )y x log( 3)y x

Log ProblemsLog Problems ln( )y x ln( 6)y x

Exponential ProblemsExponential Problems 2xy ( 4)3 1xy

More Exponential ProblemsMore Exponential Problems 16xy ( 2)3 11xy

Finding the domain:Finding the domain: Let f(x) = xLet f(x) = x22 – 1 and g(x) = – 1 and g(x) = f(g(x))f(g(x)) g(f(x)) g(f(x))

Domain is [0, Domain is [0, ∞)∞) D: (- D: (- ∞∞ , -1]U[1, , -1]U[1, ∞∞ ) )

x

2 1x 2 1x 2 1 0x

Find the domainFind the domain

11.11. Find f(g(x)) and g(f(x)) and state domain: Find f(g(x)) and g(f(x)) and state domain: ( ) 3 2( ) 1f x xg x x

Find the domainFind the domain

12.12. Find f(g(x)) and g(f(x)) and state domain: Find f(g(x)) and g(f(x)) and state domain: 2( ) 11( )1

f x x

g xx

Find the domainFind the domain

13.13. Find f(g(x)) and g(f(x)) and state domain: Find f(g(x)) and g(f(x)) and state domain: 2( ) 2

( ) 1

f x x

g x x

Find the domainFind the domain

14.14. Find f(g(x)) and g(f(x)) and state domain: Find f(g(x)) and g(f(x)) and state domain: 1( )1

( )

f xx

g x x

Also state the domain:Also state the domain:

Also state the domain:Also state the domain:

HomeworkHomework

Domain WorksheetDomain Worksheet