Question

What is (f.g)(x)? f(x) = -2x + 3 g(x) = 2x Write your answer as a polynomial or a rational function in simplest form.​

Answer 1

-4x +3

Explanation:

Given the functions f(x) = -2x + 3 and g(x) = 2x We are to find the composite function (f*g(x))

(f*g(x)) = f(g(x))

f(g(x)) = f(2x)

f(2x) = -2(2x) + 3

f(2x) = -4x +3

Hence f(g(x)) = -4x +3