Question

If f(x)=2x-5 and g(x)=x^2-4x-8, find (f+g)(x).

Answer 1

`f(x)=2x-5,\ g(x)=x^2-4x-8\\\\(f+g)(x)=f(x)+g(x)=(2x-5)+(x^2-4x-8)\\\\=2x-5+x^2-4x-8=x^2+(2x-4x)+(-5-8)=x^2-2x-13`

Answer 2

`\text{The value of (f+g)(x) is }x^2-2x-13`

Explanation:

Given the two functions

`f(x)=2x-5`

`g(x)=x^2-4x-8`

we have to find the value of (f+g)(x)

As we know

`(f+g)(x)=f(x)+g(x)=(2x-5)+(x^2-4x-8)`

`=2x-5+x^2-4x-8`

`=x^2+2x-4x-5-8=x^2-2x-13`

`\text{Hence, the value of (f+g)(x) is }x^2-2x-13`