Question

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2))

Answer 1

$f(g(2))=f(2^2-6*2-7)= \\\\ =f(4-12-7)= \\\\ =f(4-19)= \\\\ =f(-15)=-15+8 \\\\ \boxed{f(-15)=-7}$

Answer 2

$f(g(2))=2^2-6\cdot2-7+8=4-12+1=-7$