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text: 'If a function $g$ is the inverse of a function $f$, then $g$ undoes $f$, and $f$ undoes $g$. In other words, $g(f(x)) = x$ and $f(g(y)) = y$. An inverse function takes as its [3js domain] the [3lm range] of the original function, and the [3lm range] of the inverse function is the [3js domain] of the original. To put that another way, if $f$ maps $A$ onto $B$, then $g$ maps $B$ back onto $A$. To indicate the inverse of a function $f$, we write $f^{-1}$.\n\n## Examples ##\n\n$$y=f(x) = x^3\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ x=f^{-1}(y) = y^{1/3}$$\n$$y=f(x) = e^x\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ x=f^{-1}(y) = ln(y)$$\n$$y=f(x) = x+4\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ x=f^{-1}(y) = y-4$$',
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