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# Domain alg worked

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Domain Algebraically

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### Domain alg worked

1. 1. Warm-UpWarm-Up
2. 2. Homework QuestionsHomework Questions
3. 3. Domain AlgebraicallyDomain Algebraically Pre-CalculusPre-Calculus Mrs. RamseyMrs. Ramsey
4. 4. Find the DomainFind the Domain   2 y x= 2 4y x= −
5. 5. Find the domainFind the domain   2 ( 2)y x= − 2 ( 3) 7y x= − +
6. 6. Find the domainFind the domain   2 6 1y x x= + − 2 4 9y x x= − −
7. 7. Find the domainFind the domain   3 y x= 3 2 2 4 7y x x x= + − +
8. 8. Find the domainFind the domain   y x= 8y x= −
9. 9. Find the domainFind the domain   2 6y x= + − 4 1y x= − − +
10. 10. Find the domainFind the domain  2 5 6y x x= − + 2 7 12y x x= + +
11. 11. Rational ProblemsRational Problems  1 y x = 3 2 x y x + = −
12. 12. More Rational ProblemsMore Rational Problems   2 4 x y x = ( 3)( 7) 7 x x y x + − = −
13. 13. More Rational ProblemsMore Rational Problems   2 2 4 2 x y x x − = − − 3 2 3 4 x y x + = −
14. 14. Rational ProblemsRational Problems  3 5y x= + 5 6 1y x= − −
15. 15. Log ProblemsLog Problems  log( )y x= log( 3)y x= +
16. 16. Log ProblemsLog Problems  ln( )y x= ln( 6)y x= +
17. 17. Exponential ProblemsExponential Problems   2x y = ( 4) 3 1x y − = +
18. 18. More Exponential ProblemsMore Exponential Problems  1 6x y − = ( 2) 3 11x y + = − −
19. 19. 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 − ≥
20. 20. 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 ( ) 1 f x x g x x = + = −
21. 21. 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 ( ) 1 1 ( ) 1 f x x g x x = − = −
22. 22. 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 = − = +
23. 23. 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 x x g x x = − =
24. 24. Also state the domain:Also state the domain:
25. 25. Also state the domain:Also state the domain:
26. 26. HomeworkHomework  Domain WorksheetDomain Worksheet