Question

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

Answer 1

Answer:

$(f \circ g)(-8) = 16$

Step-by-step explanation:

The given function are;

f(x) = x² - 3·x - 12, and g(x) = -x - 12

$(f \circ g)(x) = f(g(x))$

Therefore;

$(f \circ g)(-8) = f(g(-8))$

g(-8) = -(-8) - 12 = 8 - 12 = -4

∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16

Therefore;

$(f \circ g)(-8) = f(g(-8)) = 16$