Question

I need help

Given the following functions:

f(x) = x2
g(x) = 2 x - 3

Find the composition of the two functions and show your process:

f(g(x))

Answer 1

f(g(x)) = 4x² - 12x + 9

Explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(2x - 3)

= (2x - 3)² ← expand using FOIL

= 4x² - 12x + 9