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inverse function

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inverse function

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Also known as inverse mapping

function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa. i.e., f(x) = y if and only if g(y) = x

AI overview

An inverse function reverses what another function does: if a function turns an input into an output, its inverse function turns that output back into the original input. Inverse functions are useful because they let you undo a mathematical operation and recover the starting value from the result.

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Inverse functions
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A function f and its inverse f. Because f maps a to 3, the inverse f maps 3 back to a.

In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by

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