Need help on this problem

Question

Find two functions f and g such that (f ∘ g)(x) = h(x). If h(x) = (4x-3)^3, what is f(x) and g(x)

Answer 1

These used to confuse me greatly!

Remember that f(g(x)) means that we are placing g(x) in place of x in f(x), much like f(3) would mean replacing x with 3, right?

h(x) = (4x - 3)³

Well, if we started with f(x) = x³ and replaced x with 4x - 3, then we'd end up with h(x).

f(x) = x³

g(x) = 4x - 3

f(g(x)) = (4x - 3)³

Hope this helps!