Self Inverse Functions Definition and Worked Example

A self inverse function f(x) is such that its inverse function is equal to f(x). Here we learn what a self inverse function is and how to show that a function is a self inverse function. In particular, we learn : - That the inverse of a self inverse function is equal to the function itself - That the composite of a self inverse function with itself, f[f(x)] , is equal to x or id(x); that’s f[f(x)] = x - That a self inverse function is the reflection of itself across the line y = x - 2 methods for showing that a given function is a self inverse function, via a worked example. ******** TIMES STAMPS ******** 00:00 : introduction