domain alg worked
TRANSCRIPT
Warm-UpWarm-Up
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