Question

Given the definitions of f (x) and g(x) below, find the value of (gof)(-8).

f(x) = -x + 8
g(x) = x2 – 3x+2

Answer 1

(gof)(-8) = 210

Explanation:

(gof) = (-x + 8)² - 3(-x + 8) = 2

= x² - 16x + 64 + 3x - 24 + 2

= x² - 13x + 42

(gof)(-8) = (-8)² - 13(-8) + 42

= 64 + 104 + 42

= 210