Question

For f(x) = 2x+1 and g(x)=x^2-7, find (f*g)(x).

Answer 1

`(f*g) (x) =2x^3-13x^2-7`

Explanation:

We have the following functions

`f (x) = 2x+1`

`g (x) = x^2-7`

To find
`(f*g)(x)` we must multiply the function f (x) with the function g (x)

Then we perform the following operation

`(f*g) (x) =(2x+1)(x^2-7)`

Apply the distributive property

`(f*g) (x) =2x^3-14x^2+x^2-7`

`(f*g) (x) =2x^3-13x^2-7`

Finally we have that:

`(f*g) (x) =2x^3-13x^2-7`