Inverse-Functions

Inverse-Functions

 

 

 

 

 

 

 

     Black = original function  Green = inverse function

Notice how the inverse function is the result of reflecting the original function over y=x. 

 

        

      inverse will not be a function                                      inverse will be a function

 

You can determine if a function is one to one (meaning the inverse of the function is also a function) by doing a horizontal line test.  If a horizontal line intersects the graph of the inverse more than once, the inverse is not a function.      

 

 

 

http://people.hofstra.edu/Stefan_Waner/RealWorld/calctopic1/inverses.html

 

This website provides applets and questions to reinforce the concept of inverse functions.

 

http://www.purplemath.com/modules/invrsfcn2.htm

 

This website illustrates how to graph an inverse function by reflecting it over y=x.

 

 

See this video for a step-by-step explanation of how to find the inverse of a function:

 

http://www.teachertube.com/view_video.php?viewkey=816dcb757df94250e7d4