In mathematics, an **inverse function** is a function that undoes another function: If an input *x* into the function ƒ produces an output *y*, then putting *y* into the inverse function *g* produces the output *x*, and vice versa. i.e., ƒ(*x*)=*y*, and *g*(*y*)=*x*. More directly, *g*(ƒ(*x*))=*x*, meaning *g*(*x*) composed with ƒ(*x*) leaves *x* unchanged.

A function ƒ that has an inverse is called **invertible**; the inverse function is then uniquely determined by ƒ and is denoted by ƒ−1 (read *f inverse*, not to be confused with exponentiation).

Read more about Inverse Function: Definitions, Inverses in Calculus, Real-world Examples

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