Question

If f(x)=2x-1and g(x)=x^2-3x-2,find( f+g)(x)

Answer 1

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

Explanation:

We have
`f(x)=2x-1` and
`g(x)=x^2-3x-2`

Recall that
`f+g` is defined by
`(f+g)(x)=f(x)+g(x)`, therefore

`(f+g)(x)=f(x)+g(x)=2x-1+x^2-3x-2=x^2-x-3`