Question

Given that f(x) = x2 – 5x – 14 and g(x) = x – 7, find (f +g)(x) and

express the result in standard form.

Answer 1

`(f+g)(x)=x^2-4x-21`

Explanation:

We are given:

`f(x)=x^2-5x-14\text{ and } g(x)=x-7`

And we want to find:

`(f+g)(x)`

This is equivalent to:

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

Therefore, by substitution:

`=(x^2-5x-14)+(x-7)`

Rearranging gives:

`=(x^2)+(-5x+x)+(-14-7)`

Combine like terms:

`=x^2-4x-21`