Question

What is g(f(x)) when f(x) = 3x + 1 and g(x) = 4x2 - 4?

A)
g(f(x)) = 12x2 - 11


B)
g(f(x)) = 13x2 + 10x


C)
g(f(x)) = 36x2 + 24x


D)
g(f(x)) = 144x2 + 96x + 12

Answer 1

C) g(f(x)) = 36x^2 + 24x

Explanation:

g(f(x)) when f(x) = 3x + 1 and g(x) = 4x^2 - 4

g(f(x)) = 4(3x + 1)^2 - 4

g(f(x)) = 4(9x^2 + 6x +1) - 4

g(f(x)) = 36x^2 + 24x + 4 - 4

g(f(x)) = 36x^2 + 24x