If f(x)=2x and g(x)=x^2 -1, which statement is true? a. (f • g) (x) = 2x^2 - 1 b. (f • g) (x) = 2x(x^2-1) c. (g • f) (x) = 4x - 1 d. (g • f) (x) = 4x^2 -1

Using composite function concepts, it is found that the correct statement is:

D.

The composite function definition is given by:

In this problem:

Then

Then, the correct statement is:

D.

A similar problem is given at link

D

Step-by-step explanation:

f(x) = 2x     g(x) = x² - 1

f(g(x)) = 2(x² - 1)

         = 2x² - 2

g(f(x)) = (2x)² - 1

         = 4x² - 1