Answer :

[tex]f(g(2))=2^2-6\cdot2-7+8=4-12+1=-7[/tex]
[tex]f(g(2))=f(2^2-6*2-7)= \\\\ =f(4-12-7)= \\\\ =f(4-19)= \\\\ =f(-15)=-15+8 \\\\ \boxed{f(-15)=-7}[/tex]