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(x)) 2. f(h(x)) 3. g(h(x))

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(x)) 8. f(g(x)) 9. h(f(x))

III. Let m(x) = 10 + 35x represent the conversion from strozzles to vinkles. Let r(x) = x2 +2 represent the conversion from vinkles to quoons. Create a composite function that converts strozzles directly to quoons.

IV. Let t(x) = 28x – 3.7 represent the conversion from toes to moles. Let z(x) = 3x2 -1 represent the conversion from moles to rolls. Create a composite function that converts toes directly to rolls.