Question

What is (f+g)(x)? f(x)= – x2+7x g(x)=3x Write your answer as a polynomial or a rational function in simplest form.

Answer 1

`(f+g)(x) = -x^2 + 10x`

Explanation:

We are given these two following functions:

`f(x) = -x^2 + 7x`

`g(x) = 3x`

Sum of the functions:

To find the sum of the functions, we combine the like terms. So

`(f+g)(x) = f(x) + g(x) = -x^2 + 7x + 3x = -x^2 + (7+3)x = -x^2 + 10x`

`-x^2 + 10x` is the answer