Question

Can anyone help with problems 6 and 8 those are the only ones I cannot figure out

Answer 1

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

`(f - g) (x)=-x^2 +5x +1`

Explanation:

We have the following functions:

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

First we find
`(f + g) (x)`

To find
`(f + g) (x)` we must add the function f(x) with the function g(x)

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

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

Now we find
`(f - g) (x)`

To find
`(f - g) (x)` we must subtract the function f(x) with the function g(x)

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

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

`(f - g) (x)=-x^2 +5x +1`