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If you can help me your amaaaaaaaazing

\[f^{-1}(x)=\frac{1}{f')f^{-1}(x)}\] is probably what you need to work with

that makes
\[f(x)=f'(f^{-1}(x))\]

see if that is possible

what do you mean

i got an example f(x)=x^2 ?

so this is proof of no example exists?

that is both invertible and continuous

That's a good point, nvm my first post then