Question

Let f(x) = - 4x - 1 and g(x) = x² + 5.
Find (fog)(5).
Simplify your answer

Answer 1

Explanation:

f(g(x)) = -4(g(x) - 1

f(g(x)) = -4(x^2 + 5) - 1

f(g(x)) = -4x^2 - 20 - 1

f(g(x)) = - 4x^2 - 19

f(5) = - 4*5^2 - 19

f(5) = -100 - 19

f(5) = - 119

You can rewrite (fog)(x) by putting g(x) in where you see an x in f(x) You can worry about the 5 later.