Answer:
[tex]f(g(-2))=-134[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=7x+6\text{ and } g(x)=8x-4[/tex]
And we want to find f(g(-2)).
First, let's find g(-2):
[tex]g(-2)=8(-2)-4[/tex]
Multiply:
[tex]g(-2)=-16-4[/tex]
Subtract:
[tex]g(-2)=-20[/tex]
Now, substitute:
[tex]f(g(-2))=f(-20)[/tex]
Now, find the value of f(-20):
[tex]f(-20)=7(-20)+6[/tex]
Multiply:
[tex]f(-20)=-140+6[/tex]
Add:
[tex]f(-20)=-134[/tex]
So:
[tex]f(g(-2))=-134[/tex]
And we're done!
