Question

If f(x) = 4x2 and g(x) = x+1, find (*•g)(x).

Answer 1

(f · g)(x) = 4x³ + 4x²

Explanation:

(f · g)(x) = f(x) · g(x)

We have f(x) = 4x² and g(x) = x + 1. Substitute:

(f · g)(x) = (4x²)(x + 1) use the distributive property

(f · g)(x) = (4x²)(x) + (4x²)(1)

(f · g)(x) = 4x³ + 4x²