Question

F(x) = -2x

g(x) = 8x² - 5x+7
Find (f g)(x).
O-16x³5x+7
O 16x4 + 10x³ - 14x²
O-16x² + 10x - 14x
O-16x³ + 10x² - 14x

Answer 1

-16x² + 10x - 14.

Explanation:

To find the composition of two functions, (f g)(x), we first evaluate g(x) and then substitute the result into f(x).

So, let's first evaluate g(x):

g(x) = 8x² - 5x + 7

Next, substitute g(x) into f(x):

(f g)(x) = f(g(x)) = f(8x² - 5x + 7) = -2(8x² - 5x + 7) = -16x² + 10x - 14

Therefore, (f g)(x) = -16x² + 10x - 14.