How do i find this Inverse Function?

Question

the function is

f(x)= (4/(x^3)) - (3/(x^2))

how do i solve it ... i'm stumped... I know i replace x and y but it does this function have a inverse?

Answer 1

y = 4/(x^3) - 3/(x^2)

=> yx^3 = 4 - 3x

=> yx^3 + 3x - 4 = 0

From here, you'll have to use the cubic formula to solve for x in terms of y.

Answer 2

I graphed it and it appears to fail the horizontal line test which means that the inverse isn't a function.