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

For this case, the first thing we must do is multiply both functions to obtain the desired result.

We have then:

f (x) = 2x

g (x) = x ^ 2-1

Multiplying we have:

(f * g) (x) = (2x) * (x ^ 2-1)

Answer:

The following statement is correct:

B. (f * g) (x) = 2x (x ^ 2-1)