Question

Given f(x) = 3x^2 + 5 and g(x) = x -2

What is (fg)(x)?

A. 3x^3 - 10
B. 3x^2 - x + 7
C. -3x^2 + x - 7
D. 3x^3 - 6x^2 + 5x - 10

Answer 1

D. (fg)(x) = 3x^3 - 6x^2 + 5x - 10

Explanation:

f(x) = 3x^2 + 5 and g(x) = x -2

(fg)(x) = (3x^2 + 5)(x -2)

(fg)(x) = 3x^3 - 6x^2 + 5x - 10