Inverse of $y=1/x$ Can anybody say anything about the inverse function of $y=1/x$ and plot it on a graph and then compare the graphs of the given function and it's inverse? Is $y=1/x$ invertible? If yes then do the graphs of $y=1/x$ and its inverse coincide?

Solve the equation
$$y=\frac1x$$ for $x$. This immediately gives you
$$x=\frac1y$$ and is valid for $x,y\ne0$.
