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
[tex](f+g)(3)[/tex]
This means we need to find
[tex]f(3)+g(3)[/tex]
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
[tex]f(3)=0[/tex]
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
[tex]g(3)=0[/tex]
Add them
[tex]\begin{gathered} f(3)+g(3)=0+0 \\ (f+g)(3)=0 \end{gathered}[/tex]
a)
(f + g)(3) = 0
We need to find
[tex](f-g)(2)[/tex]
That means we need to find
[tex]f(2)-g(2)[/tex]
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
[tex]f(2)=1[/tex]
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
[tex]g(2)=4[/tex]
Subtract them
[tex]\begin{gathered} f(2)-g(2)=1-4 \\ \\ (f-g)(2)=-3 \end{gathered}[/tex]
b)
(f - g)(2) = -3
