Inverse Function

                     Lesson 1

                                                                                                                                                                          

                                                            Problem:  Is {(6,7),(8,9)} the inverse of the function {(7,6),(9,8)}?

                                                            

                                                            Solution   The inverse of a function is the set of ordered pairs obtained

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Step 1:†††††† by interchanging the first and second elements

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† †††††† of each pair in the original function.                                                                       

                     

                                                            Solution   In the above question the pair is interchanged

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Step 2:†††††† hence it is the inverse of the function.                                                                                                             

                                                                                         

                                                            Solution   Answer: Yes itís the inverse of the function.

                                                            Step 3:           

Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                               Solve the following:     

  

 

A.

Is {(2, 3), (4, 5)} the inverse of the function {(3,2),(4,5)}?

B.

Given function f, is the inverse also a function?

f(x)={(6,2),(5,2),(0,8),(1,2)}

 

 

 

 

 

 

        

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