Question

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

Answer 1

$f(x)=x-2 \\ g(x)=x^2-7x-9 \\ \\ g(-1)=(-1)^2-7 \times (-1)-9 = 1+7-9=-1 \\ f(g(-1))=f(-1)=-1-2=-3 \\ \\ \boxed{f(g(-1))=-3}$