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What do you mean by the term inverse function

Let f be a bijection from a set A to a set B. Then the function g is called the inverse function of f, and it is denoted by f -1 , if for every element y of B, g(y) = x , where f(x) = y . Note that such an x is unique for each y because f is a bijection.

For example, the rightmost function in the above figure is a bijection and its inverse is obtained by reversing the direction of each arrow.

Example: The inverse function of f(x) = 2x from the set of natural numbers N to the set of nonnegative even numbers E is f -1(x) = 1/2 x from E to N. It is also a bijection.

A function is a relation. Therefore one can also talk about composition of functions.