Question

Find f(g(x)) Find g(f(x))

Answer 1

f(g(x)) = x + 11

g(f(x)) = √(x² + 11)

Explanation:

f(x) = x² + 5

g(x) = √(x + 6)

f(g(x)) = f(√(x + 6))

= (√(x + 6))² + 5

= x + 6 + 5

f(g(x)) = x + 11

g(f(x)) = g(x² + 5)

= √(x² + 5 + 6)

g(f(x)) = √(x² + 11)