Question

Let ƒ(x) = x2 + 2x and g(x) = 2x. Evaluate the composition (ƒ ∘ g)(2).

Answer 1

Explanation:

(ƒ ∘ g)(x)

= ƒ(2x)

= (2x)² + 2(2x)

= 4x² + 4x.

Therefore (ƒ ∘ g)(2) = 4(2)² + 4(2) = 16 + 8 = 24.

Answer 2

Explanation:

g(2) = 2(2)= 4

f(4) = 4^2 + 2(4) = 16 + 8 = 24