![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Inverse_Function.png/640px-Inverse_Function.png&w=640&q=50)
Inverse function
Mathematical concept / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Inverse functions?
Summarize this article for a 10 year old
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
![](http://upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Inverse_Function.png/320px-Inverse_Function.png)
For a function , its inverse
admits an explicit description: it sends each element
to the unique element
such that f(x) = y.
As an example, consider the real-valued function of a real variable given by f(x) = 5x − 7. One can think of f as the function which multiplies its input by 5 then subtracts 7 from the result. To undo this, one adds 7 to the input, then divides the result by 5. Therefore, the inverse of f is the function defined by