How to prove or disprove the inverse of the rational function is also a rational function?

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- Sep 12th 2010, 04:45 AMHinaticoInverse of rational function
How to prove or disprove the inverse of the rational function is also a rational function?

- Sep 12th 2010, 06:33 AMchisigma
A simple example: is rational but the inverse is irrational. To prove that is sufficient to consider that the real solution of the equation is obtained using the Cardano's formula, where square and cubic roots are involved...

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