Question

I’ve been trying to find multiple solutions to solve this but have no luck :/

Answer 1

Optis the correct answer f= -3

Answer 2

We have the graphs of the functions

f(x) ------ the left graph in the picture

g(x) ----- the right graph in the picture

We need to find

`(f+g)(3)`

This means we need to find

`f(3)+g(3)`

To find f(3) look at the left graph

Look for the value of y at x = 3

At x = 3 the value of y is 0, then

`f(3)=0`

To find g(3), look at the right graph

Look for the value of y at x = 3

At x = 3 the value of y is 0, then

`g(3)=0`

Add them

`\begin{gathered} f(3)+g(3)=0+0 \\ (f+g)(3)=0 \end{gathered}`

a)

(f + g)(3) = 0

We need to find

`(f-g)(2)`

That means we need to find

`f(2)-g(2)`

To find f(2) look at the left graph

Look for the value of y at x = 2

At x = 2 the value of y is 1, then

`f(2)=1`

To find g(2) look at the right graph

Look for the value of y at x = 2

At x = 2 the value of y is 4, then

`g(2)=4`

Subtract them

`\begin{gathered} f(2)-g(2)=1-4 \\ \\ (f-g)(2)=-3 \end{gathered}`

b)

(f - g)(2) = -3