Question

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

Answer 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)