Drop into . Then she drops the output from into . If she gets her original number, she is pretty sure that the two equations are inverses.

Is Adriena's strategy sufficient? Is there anything else she should test to be sure?

With your team, select a pair of inverse equations from problem 5-41, name them and , then use Adriena's ideas to test them.

Adriena wants to find a shortcut to show her work. She knows that if she chooses her input for to be , she can write the output as . Next, becomes the input for , and her output is . Since is the new input for , she thinks that she can write this process as . Does her idea make sense? Why or why not?

Her friend Cemetra thinks she could also write . Is Cemetra correct? Why or why not?

Will this strategy for testing inverses work with any input? Choose a variable to use as an input to test with your team's functions, and .