![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 − ≥](https://image.slidesharecdn.com/domainalgworked-170112154725/85/Domain-alg-worked-19-320.jpg)
Domain alg worked
- 3. Domain AlgebraicallyDomain Algebraically Pre-CalculusPre-Calculus Mrs. RamseyMrs. Ramsey
- 4. Find the DomainFind the Domain 2 y x= 2 4y x= −
- 5. Find the domainFind the domain 2 ( 2)y x= − 2 ( 3) 7y x= − +
- 6. Find the domainFind the domain 2 6 1y x x= + − 2 4 9y x x= − −
- 7. Find the domainFind the domain 3 y x= 3 2 2 4 7y x x x= + − +
- 8. Find the domainFind the domain y x= 8y x= −
- 9. Find the domainFind the domain 2 6y x= + − 4 1y x= − − +
- 10. Find the domainFind the domain 2 5 6y x x= − + 2 7 12y x x= + +
- 11. Rational ProblemsRational Problems 1 y x = 3 2 x y x + = −
- 12. More Rational ProblemsMore Rational Problems 2 4 x y x = ( 3)( 7) 7 x x y x + − = −
- 13. More Rational ProblemsMore Rational Problems 2 2 4 2 x y x x − = − − 3 2 3 4 x y x + = −
- 14. Rational ProblemsRational Problems 3 5y x= + 5 6 1y x= − −
- 15. Log ProblemsLog Problems log( )y x= log( 3)y x= +
- 16. Log ProblemsLog Problems ln( )y x= ln( 6)y x= +
- 17. Exponential ProblemsExponential Problems 2x y = ( 4) 3 1x y − = +
- 18. More Exponential ProblemsMore Exponential Problems 1 6x y − = ( 2) 3 11x y + = − −
- 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. 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. 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. 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. 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. Also state the domain:Also state the domain:
- 25. Also state the domain:Also state the domain:
- 26. HomeworkHomework Domain WorksheetDomain Worksheet