Relationship between the graph of a function and its inverse, Algebra

There is interesting relationship among the graph of function and its inverse.

Here is the graph of the function & inverse from the first examples. We'll not deal along with the ultimate example as that is a function that we haven't actually talked about graphing yet.

1756_Relationship between the graph of a function and its inverse.png

 

In this cases we can see that the graph of the inverse is a reflection of the actual function about the line y = x .  It will always be the case along with the graphs of a function and its inverse.

Posted Date: 4/8/2013 1:29:40 AM | Location : United States







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We have to note a couple of things here regarding function composition.  Primary it is NOT multiplication. Regardless of what the notation may recommend to you it is simply not