Question

Find (fog)(x).
f(x) = x^2+ 5
g(x) = x^2

Answer 1

f(g(x)) = x⁴ + 5

Explanation:

Step 1: Define

f(x) = x² + 5

g(x) = x²

Step 2: Plug in

f(g(x)) = (x²)² + 5

f(g(x)) = x⁴ + 5