Proving that two functions are not inverses of each other

The video tutorial explains how to determine if two functions are inverses of each other. It introduces the concept of inverse functions and describes the method of using function composition to prove inverses. An example is provided to illustrate the process, showing that if the composition of two functions results in the identity function, they are inverses. The tutorial concludes by emphasizing the importance of satisfying both conditions for functions to be inverses.

What is the primary method to verify if two functions are inverses of each other?

• Checking if their graphs intersect

• Using the composition of functions

• Comparing their derivatives

• Evaluating their limits

In the example provided, what was the result of the composition f(g(x))?

• x - 2

• x + 16

• x

• x + 18

Why were the functions in the example not considered inverses?

• Their graphs did not intersect

• They had different domains

• They did not satisfy the derivative condition

• The composition did not result in the identity function

What must the composition of two functions equal for them to be inverses?

• Their sum

• The identity function, x

• A constant

• Zero

What does the failure to achieve the identity function in composition indicate?

• The functions are linear

• The functions are identical

• The functions are not inverses

• The functions are inverses