Composition of Functions Worksheet



Composition of Functions Worksheet Name __________________________

I. Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following:

1. f(g(-3)) 2. f(h(7)) 3. g(h(24))

4. h(f(x)) 5. g(f(x)) 6. h(g(x))

II. Let f(x) = 9 – x , g(x) = x2 + x, and h(x) = x – 2. Compute the following:

7. g(f(3)) 8. f(g(4)) 9. h(f(-6))

10. f(h(x)) 11. h(g(x)) 12. g(h(f(5)))

13. h(g(f(x)))

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