Name:________________________________ Date:________________ Period:______
COMPOSITE FUNCTION WORKSHEET
Directions: Show all work for credit. Work must be neat and answer must be circled.
For 1- 9: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: |
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1. f(g(-3))
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2. f(h(7)) |
3. (g◦h)(24) |
4. f(g(h(2)))
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5. h(g(f(5))) |
6. g(f(h(-6))) |
7. f( x + 1) 8. g(3a)
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9. h( x – 2) |
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For 10-11: Let f(x) = -3x + 7 and g(x) = 2x2 – 8. Compute the following: |
10. f(g(x)) 11. (g◦f)(x)
If f (x) 3x5 and g(x) x2, If f (x) 9x9 and g(x) x9,
12. 13. find f o g3 find f og10
If f (x) 4x2 and g(x) x8, If f (x) 3x4 and g(x) x2,
14. 15. find f og12 find go f 2
If f (x) 2x1 and g(x) x2 5, Given f (x) 9x3 and g(x) x4,
16. 17. find go f 2 find f ogx
Given f (x) 2x5 and g(x) x2, Given f (x) x2 7 and g(x) x3,
18. 19. find f ogx find f ogx
Given f (x) 4x3 and g(x) x2, Given f (x) x1 and g(x) x2 2x8,
20. 21. find go f x find go f x
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