Composite Function Precalculus

Question

Find two functions f and g such that (f ∘ g)(x) = h(x).

 (There are many correct answers. Use non-identity functions for f(x)

 and g(x).)

h(x) = −x2 + 4

3 − x2

Answer 1

Let f(x) = 3 - x and g(x) = x².

Then, (f o g)(x) = f(g(x)) = f(x²) = 3 - x² = h(x)