I got this example:
and I am trying to find an inverse function to this function. Could I ask you, please, how to do that?
Thank you
2026-04-12 09:43:46.1775987026
Solving: How to find an inverse function for this function?
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$$\begin{align} y &= 2 + \ln\left(-1 + \sqrt{x}\right)\\ y-2 &= \ln\left(-1 + \sqrt{x}\right)\\ e^{y-2}&=-1 + \sqrt{x}\\ e^{y-2} + 1 &= \sqrt{x}\\ x &= \left(e^{y-2} + 1 \right)^2 \end{align} $$