I have seen a lot of articles and books teaching how to find an inverse of a function by 'switching' $x$ and $y$ and solve for $y$ variables. My understanding of an inverse function is that it undoes whatever the function being given do, i.e. $f^{-1}(f(x))=x$. With this, I want to find the inverse of a function without using the 'switching of $x$ and $y$' since I can't find the reason why the 'switching of $x$ and $y$' works. Is there any other approach?
2026-03-28 06:09:46.1774678186
Is there any way of finding inverse without "switching"?
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