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