Wednesday, April 01, 2015

Algebra: Inverse Functions, Introduction

Think of a function as a machine. It takes an input (x-value, independent variable), performs some operation (equation) on it, then spits out an output (y-value, dependent variable).

The inverse of a function is the undo button in the world of functions. It takes an output, performs an operation, and gives back the input that would have went into the original function machine.

There is a way to test whether two functions are the inverses of each other. It is actually a mathematical theorem, which says:

We will use this information in the next two posts, which make up this series on inverse functions. In the first, we will discuss how to use the above theorem to test whether two functions are the inverses of each other. In the second, we'll see how to find the inverse of a given function.

I hope you'll stay tuned!