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

D. (f · g) (x) = 3x³ + 6x²

Step-by-step 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