Question

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

Answer 1

F(x) = x + 8
g(x) = x² - 6x - 7

f(g(2)) = ((2)² - 6(2) - 7) + 8
f(g(2)) = (4 - 12 - 7) + 8
f(g(2)) = (-8 - 7) + 8
f(g(2)) = -15 + 8
f(g(2)) = -7

Answer 2

Mathematical Work:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=(2^2-6(2)-7)+8
f(g(2))=(4-12-7)+8
f(g(2))=-7
Explanation:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=?
2 was given as the x for function g and when you substitute 2 into function g's equation(g(2)=(2^2-6(2)-7)=-15, you would get -15. The answer to function g would be the x for function f. Which would be f(-15)=-15+8 and the answer for f(g(2)) is -7.