Question

Given f(x)=3x−4 and g(x)=x2−3, find (g ∘ f)(x).

Question 6 options:

9x2+13

3x2−13

9x2−24x+19

9x2−24x+13

Answer 1

9x^2 -24x +13

Explanation:

(g º f)(x) = g(f(x))

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

(3x-4)^2 = 9x^2 - 24x + 16

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

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