Function Inverse

This section has the following videos:

  • Lesson Video
  • Example Set A Practice Problems (Video Solutions)
  • Example Set B Practice Problems (Video Solutions)
  • Example Set C Practice Problems (Video Solutions)
  • DOWNLOAD the Practice Problem Worksheet Here (the videos below explain the solutions to the problems)

The inverse of a function is like a function’s “anti-function”.  To put this another way an inverse function undoes a function.  As you can see below an inverse function’s domain and range are the exact opposite of that of the function.  As an algebra student not only do you want to understand the concept of inverse functions but you need to master how to find them- the notes below will really help!

 

Key concepts to remember:

* functions are special type of relations
* the graph of a function and it’s inverse will be symmetric along the y = x line
* the composite function of a function and it’s inverse will always be = x (assuming your functions are using x as there variable)