Question

F(x) = x + 3

g(x) = 2x² - 4

Find (f.g)(x).

A. (f•g)(x) = 2x³ + 6x² + 4x + 12
B. (f•g)(x) = 2x³ + 6x² - 4x - 12
C. (f•g)(x) = 2x³ + 12
D. (f•g)(x) = 2x³ - 12​

Answer 1

B. (f•g)(x) = 2x³ + 6x² - 4x - 12

Explanation:

F(x) = x +3

G(x) = 2x² -4

(f x g)(x) = f(x) x g(x)

(f x g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4)

(f x g)(x) = 2x³ + 6x² - 4x -12

Hope this helps! <3