Question

If f(x) = -x + 4 and g(x) = x^2 - 5, then g(f(3)) = ?

A) -8
B) -4
C) -3
D) 0

Answer 1

B) -4

Explanation:

To solve g(f(3)), we first have to solve f(3):

Since f(x) = -x +4 , f(3) = -3 + 4 = 1

Now we have to solve g(1) , since that is what f(3) left us;

Since g(x) = x^2 - 5 , g(1) = 1^2 - 5 = 1 - 5 = -4