Answer:
[tex]-4[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]h(x)=4x+5\text{ and } g(x)=3x+5[/tex]
And we want to find:
[tex](h+g)(-2)[/tex]
This is the same as:
[tex]h(-2)+g(-2)[/tex]
Let's substitute them for their functions:
[tex]=(4(-2)+5)+(3(-2)+5)[/tex]
Multiply:
[tex]=(-8+5)+(-6+5)[/tex]
Add:
[tex]=-3-1[/tex]
Subtract:
[tex]=-4[/tex]
And we're done!
