Let G(x) = (x^3) /(x^3 + 4 ) G(x) = (f ∘ g)(x) where f (x) = [insert answer] and g(x) = [insert answer] Note that f and g must both be different from G.

Answer 1

There are actually (infinitely) many correct answers to this question, but probably the most natural choice is to choose g(x)=x^3 and f(x)=x/(x+4). To double check that this works, evaluate G(x)=(f°g)(x) as follows:

G(x)=(f°g)(x)=f(g(x))=f(x^3)=(x^3)/((x^3)+4).