Find functions f and g such that h = g ∘ f.

Question

Find functions f and g such that
h = g ∘ f.
(Note: The answer is not unique. Enter your answers as a comma-separated list of functions. Use non-identity functions for f and g.)

h(x) = 1/√x^2-4

Answer 1

Let f(x) = x² - 4   g(x) = 1/√x

 

Then, g(f(x)) = g(x²-4) = 1/√(x²-4) = h(x)