Inverse of \(f\) of Inverse

Level pending

Consider a function \(f(x)\) and its inverse \(f^{-1}(x)\) such that \[f^{-1}\left(f\left(f^{-1} \left(\frac{x+1}{2x-1}\right)\right)\right)=2x+m.\] If \(f(1)=2,\) what is the value of \(f(27)?\)

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