Question

If `h(x)=f(g(x))` how do you determine f(x) and g(x) given `h(x)=2x^2-1`?

Answer 1

There are an infinite number of valid answers; the one they're probably looking for is `f(x)=2x-1` and `g(x)=x^2`.

We could have also said `f(x)=x-1, g(x)=2x^2` or `f(x)=x, g(x)=2x^2-1` or others.