Let f(x) = x − 2 and g(x) = x^3. What is (f ◦ g)(2)?

Answer 1

We know that (f•g)(x) = f(x)•g(x), so we use this to solve:

(f•g)(2) = f(2)•g(2), where

f(2) = 2 - 2 = 0

g(2) = 2³ = 8

So:

(f•g)(2) = f(2)•g(2) = 0 * 8 = 0

Answer 2

(f ◦ g)(2) = x^3 - 2