Inverse function

function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa. i.e., f(x) = y if and only if g(y) = x

An inverse function is a concept of mathematics. A function will calculate some output , given some input . This is usually written . The inverse function does the reverse. Let's say is the inverse function of , then . Or otherwise put, . An inverse function to is usually called Do not confuse with : the first is a value of an inverse function, the second is reciprocal of a value of a normal function.


Let's take a function   over real  . Then,  

At first, make  to  . For example,   to  , It also  , so It's inverse function is  .

Not all functions have inverse functions: for example, function   has none (because  , and   should give both 1 and -1 when given 1)), but every binary relation has its own inverse relation.

Finding the inverse of a function can be very difficult to do.

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