G(x)=3x^2

If we want to find the inverse function of G(x) = 3x^2, we need to solve for x in terms of y:

y = 3x^2

y/3 = x^2

x = ± √(y/3)

However, in order for this to be a function, we need to restrict the domain of the inverse. We can choose to restrict the domain to non-negative values of y, in which case the inverse function is:

G^-1(y) = √(y/3), y ≥ 0

Alternatively, we could restrict the domain to non-positive values of y and get a different inverse function:

G^-1(y) = -√(y/3), y ≤ 0