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Inverse Function

Basic definition

The inverse function f^-1 of a function f is the function for which f(f^-1(x)) = x for any x.

Detailed definition

Given a function f(x), its inverse f^(-1)(x) is defined by f(f^(-1)(x)) = f^(-1)(f(x)) congruent x. Therefore, f(x) and f^(-1)(x) are reflections about the line y = x. In the Wolfram Language, inverse functions are represented using InverseFunction[f].

Related terms

bijective | composition | inverse | inverse function theorem | inverse hyperbolic functions | inverse trigonometric functions | series reversion

Related Wolfram Language symbol

InverseFunction

Educational grade level

high school level (California Algebra II standard)

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