Question: Name Date 5.6 Extra Practice In Exercises 1-8, let f(x) = Vx + 3, g(x) = 4x - 3, and h(x) = 3x2 + 3.

Name Date 5.6 Extra Practice In Exercises 1-8, let f(x) = Vx + 3, g(x) = 4x - 3, and h(x) = 3x2 + 3. Find the indicated value. 1 . f (8(9) ) 2. 8(f (6)) 3. g(h(1) ) 4. h(g(0)) 5. h(f (-2) ) 6. f(h(5)) 7. 8(8(1.5)) 8. f (f (-2) ) In Exercises 9-16, let f(x) = \\x - 6, g(x) = 2x - 5, and h(x) = x2 - 3. Find the indicated value. 9. f(8(10)) 10. g(f(31)) 11 g(h(1)) 12. h(g(2)) 13. f (h ( 5) ) 14. h(f (42 ) ) 15 . 8 8 2) 16. h(h(1) ) In Exercises 17-26, find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). State the domain of each composition. 17. f ( x) = 6x, 8(x) = x -2 18. f (x ) = x + 7, 8(x) = 1x-91 19. f ( x) = 4x2, 8( x) = x - 2 20. f ( x) = x2 + 2, 8(x) = 2x - 3 21. f ( x) = 2x-', 8(x) = 3x -9 22. f(x) = -3x-', 8(x) = x2 -4 23. f ( x ) = 2x + 5, 8(x) = Vx - 3 24. f ( x) = 3x - 2, 8(x) = V2x - 2 25 . f ( x ) = x + 2, 8(x) = x2 + 3x- 7 26. f ( x) = 2x - 1, g(x) = x2 - 3x + 2 In Exercises 27 and 28, let f(x) = x2 + 2 and g(x) = 5x. Describe and correct the error in performing the composition. 27. 28. X 1(8(x)) = 5(xx2 + 2) X 8 (f (x)) = 8(x2 + 2) = 5x2 + 10 = 5x2 + 2 29. The function C(x) = 10x + 85 represents the cost (in dollars) of producing x handbags. The number of handbags produced in t hours is represented by x(t) = 5t. a. Find C(x(t)). b. Evaluate C(x(40)) and explain what it represents. Copyright @ Big Ideas Learning, LLC 200 Algebra 2 All rights reserved. Resources by Chapter

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