$\displaystyle f(x) = 5(x-2)^3 - 6$

Could someone help me find the inverse function for this function?

I understand these steps:

Set f(x) to y

$\displaystyle y = 5(x-2)^3 - 6$

Swap x and y

$\displaystyle x = 5(y-2)^3 - 6$

I think I'm supposed to solve for Y, but I'm not sure how to continue.