So, we are looking for F of G of 2. So, we need to work backwards and find G(x) first.
[tex]g(-2)=5(-2)+4\\g(-2)=-6[/tex]
So we know that g(-2) = -6, now we take thatt -6 and plug in into f(x)
[tex]f(g(-2))=f(-6)\\f(-6)=8-10(-6)\\f(-6)=8+60\\f(-6)=68[/tex]
68 is the answer