Question

Given the following functions f(x) and g(x), solve f[g(6)].
f(x) = 6x + 12
g(x) = x - 8

Answer 1

f[g(6)] = 0

Explanation:

f(x) = 6x + 12

g(x) = x - 8

f[g(6)]

First lets find g(6)

g(6) = 6-8 = -2

Then we substitute -2 in for g(6)

Putting -2 into f(x)

f[g(6)] = f(-2) = 6(-2)+12 = -12+12 =0