Does anybody know if there is any method to find the inverse of such a function like $\displaystyle f(x)=x^3+px+q$. I used an online calculator and it returned wich is very complicated. Is there any alghoritm?
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It's unlikely you can get a simpler formula. See Cardano's formula.
http://homepage.smc.edu/kennedy_john/SOLVINGCUBICS.PDF
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