Question

Perform the requested operation or operations.

f(x) = 4x + 9, g(x) = 4x2

Find (f + g)(x).

16x3 + 36x
four x plus nine divided by four x squared.
4x + 9 - 4x2
4x + 9 + 4x2

Answer 1

`4x+9+4x^2`

Explanation:

The given functions are:

`f(x)=4x+9` and
`g(x)=4x^2`

We want to find
`(f+g)(x)`.

Recall that:

`(f+g)(x)=f(x)+g(x)`

We substitute the functions to get:

`(f+g)(x)=4x+9+4x^2`

We now write in standard form to obtain:

`(f+g)(x)=4x^2+4x+9`