Functions

Inverse function \(f\) is reverse function, denote as \(f^{-1}\). If a function \(f\) is mapping x to y, then \(f^{-1}\) is mapping y to x,

To find the invers function of \(y = f(x)\), we need to determine \(x = f(y)\).

A function has an inverse if the function is a one-one function. One-one function is there is only one value of element of domain that mapped to one value of range, and vice versa.

Domain of \(f^{-1}\) is same with range of \(f\)

Range of \(f^{-1}\) is same with domain of \(f\)