Question

Let f(x) = x - 2 and g(x) = x2 - 7x - 9. Find f(g(-1)).

Answer 1

$f(g(-1))=(-1)^2-7\cdot(-1)-9-2=1+7-11=-3$

Answer 2

$f(x)=x-2\\\\ g(x)=x^2-7x-9\\\\ f(g(-1)):\\ First\ calculate\ g(-1):\\\\ g(-1)=(-1)^2-7*(-1)-9=1+7-9=8-9=-1\\\\\ f(-1)=-1-2=-3\\\\ \boxed{f(g(-1))=-3}$