Algebra and Trigonometry, 8th edition
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36

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PAGE: 245SET: ExercisesPROBLEM: 36
Please look in your text book for this problem Statement

A function f has an inverse function if and only if f is one - to - one.

Consider the function as .

The table on the left is a table of values for .

The table of values on the right is made up by interchanging the columns of the given table.

The table on the right represent a function because the different input values are matched with  different output values.

So, f(x) is one - to - one and have an inverse function.

x

y

     10

6

4

0

1

        2   
        3     

 

x

y

10

   

6

4

1

0

           2
         3

 

 

 

 

 

 

 

 

 

 

 

 

Yes, the function f(x) have an inverse function.



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