Question

If f(x) = 3x^2

and g(x) = x+2, find (f•g)(x).
A. 3x3 +6x
B. 3x2 +6x
c. xi +2
D. 3x3 +6x2

Answer 1

D. (f · g)(x) = 3x³ + 6x²

Explanation:

(f · g)(x) = f(x) · g(x)

We have f(x) = 3x² and g(x) = x + 2. Substitute:

(f · g)(x) = (3x²) · (x + 2) use the distributive property

(f · g)(x) = (3x²)(x) + (3x²)(2)

(f · g)(x) = 3x³ + 6x²