Answer:
[tex](f + g) (x)=x^2 +x +3[/tex]
[tex](f - g) (x)=-x^2 +5x +1[/tex]
Step-by-step explanation:
We have the following functions:
[tex]f(x)=3x +2\\[/tex] and [tex]g(x) = x^2 -2x +1[/tex]
First we find [tex](f + g) (x)[/tex]
To find [tex](f + g) (x)[/tex] we must add the function f(x) with the function g(x)
[tex](f + g) (x)=3x +2 + x^2 -2x +1[/tex]
[tex](f + g) (x)=x^2 +x +3[/tex]
Now we find [tex](f - g) (x)[/tex]
To find [tex](f - g) (x)[/tex] we must subtract the function f(x) with the function g(x)
[tex](f - g) (x)=3x +2 - (x^2 -2x +1)[/tex]
[tex](f - g) (x)=3x +2 - x^2 +2x -1[/tex]
[tex](f - g) (x)=-x^2 +5x +1[/tex]
