Question

If f(x) = 4x - 1 and g(x) = x^2 , what is (f * g)(x)

Answer 1

(f * g)(x) = 4x^3 - x^2

`4x^(3)-x^(2)`

Explanation:

We have been given the following functions;

f(x) = 4x - 1

g(x) = x^2

We are required to determine;

(f * g)(x)

This simply means we shall be finding the product of the two functions given;

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

(f * g)(x) = x^2 * (4x - 1 )

we open the brackets by multiplying each term by x^2

(f * g)(x) = x^2(4x) + x^2(-1)

(f * g)(x) = 4x^3 - x^2