One valid utility representation of Maria’s preferences is ux y =√3x + 3yCalculate inverse function

To find the inverse function, we need to solve for x in terms of u and y:

u = √(3x + 3y)

Square both sides:

u^2 = 3x + 3y

Subtract 3y from both sides:

u^2 - 3y = 3x

Divide both sides by 3:

x = (u^2 - 3y) / 3

Therefore, the inverse function is:

f^-1(u, y) = ((u^2 - 3y) / 3, y)