Question

Given f(x) = 3x - 4 and g(x) = x ^ 2 - 3 find (g f) (x) .

A) 9x ^ 2 - 24x + 19

B) 9x ^ 2 + 13

C) 3x^2 - 13

D) 9x ^ 2 - 24x + 13

Answer 1

D

Explanation:

f(x) = 3x - 4

Substituting f(x) into g(x) gives:

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

Expanding the squared term, we get:

g(f(x)) = 9x^2 - 24x + 16 - 3

Simplifying, we get:

g(f(x)) = 9x^2 - 24x + 13