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

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

Step-by-step 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