Can I find the inverse function of the original function by using inverse function theorem?

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Ryan Fitzgerald · Accepted Answer

The inverse function theorem says  (      f          −      1        (  x  )      )    ′    =      1                  f        ′            (              f                  −          1                    (      x      )      )      which can be reworked by integration,      f          −      1        (  x  )  +  C  =  ∫            d      x                      f        ′            (              f                  −          1                    (      x      )      )        .Unfortunately,       f          −      1       appears in both members and this is an integral equation, usually much more difficult than the function inversion itself.

Can I find the inverse function of the original function

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