In mathematics, an inverse function is a function that undoes another function: If the function f applied to an input x gives a result of y, then applying the inverse function g to y gives the result x, and vice versa. i.e. f(x) = y, and g(y) = x. More directly, g(f(x)) = x, meaning g composed with f form an identity.
A function f that has an inverse is called invertible; the inverse function is then uniquely determined by f and is denoted by f −1, read f inverse. Superscripted "−1" does not refer to numerical exponentiation: see composition monoid for explanation of this notation.
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