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

The inverse function is a function obtained by reversing the given function. The domain and range of the given function are changed as the range and domain of the inverse function. Let us learn more about …

Nov 13, 2025 · An inverse function basically reverses the effect of the original function. If you apply a function to a number and then apply its inverse, you get back the original number.

An inverse function goes the other way! Let us start with an example: Here we have the function f (x) = 2x+3, written as a flow diagram:

A function f has an inverse function if and only if, for every element y in its range, there is only one value of x in its domain for which f (x) = y. It means that for each output, there is precisely only one input.

An inverse function reverses the operation done by a particular function. In other words, whatever a function does, the inverse function undoes it. In this section, we define an inverse function formally …

The commonest inverse functions are, the inverses to powers like x k xk which are called roots and denoted as x 1 k xk1 and the inverse to the exponent function, exp (x) exp(x), which is called the …

Explore inverse functions in mathematics, including their definition, properties, and step-by-step examples. Learn how functions and their inverses are related, when inverses exist, and how to find …

Inverse functions are a way to "undo" a function. In the original function, plugging in x gives back y, but in the inverse function, plugging in y (as the input) gives back x (as the output).

Given a function \ ( f (x) \), the inverse is written \ ( f^ {-1} (x) \), but this should not be read as a negative exponent. Generally speaking, the inverse of a function is not the same as its reciprocal.