Question

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

Answer 1

Answer:

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

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

Step-by-step 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)

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

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

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