Question

If f(x) =-x^2 +6 x-1 and g(x) =3x^2-4x-1 find ( f+g) (x)

Answer 1

`(f+g)(x)=-x^2+6x-1+3x^2-4x-1=2x^2+2x-2`

Answer 2

Answer:
`(f+g)(x)=2x^2+2x-2`

Explanation:

Given the function f(x), which is:

`f(x)=-x^2 +6x-1`

And the function g(x), which is:

`g(x) =3x^2-4x-1`

You can observe that
`(f+g)(x)` indicates that you need to add the functions, then you know that:

`(f+g) (x)=(-x^2+6 x-1)+(3x^2-4x-1)`

Finally, to simplify it you must addthe like terms. Therefore, you get that
`(f+g)(x)` is:

`(f+g)(x)=-x^2+6 x-1+3x^2-4x-1`

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