Lesson Overview:

 

• Find inverse functions graphically

• Find inverse functions algebraically

• Use Property of inverse function to check whether two functions are inverse algebraically

​

​

Part A: Find Inverse Functions graphically

This is a video teaching how to find inverse functions graphically: https://www.youtube.com/watch?v=LZdHQhLJF_Y&t=417s

Example:

 

 

 

 

 

 

 

 

 

​

​

Part B: Find Inverse Functions algebraically

This is a video teaching how to find inverse functions algebraically: https://www.youtube.com/watch?v=1_R6OtUiJKs

Examples:

​

 

 

 

 

 

​

 

 

 

 

 

 

​

​

​

​

​

​

​

 

 

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

Part C: Use Property of inverse function to check whether two functions are inverse algebraically 

This is a video on how to prove inverse functions

Examples:

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

SAT Testing on Inverse Functions

 

 

 

 

 

 

 

​

 

​

​

​

 

 

Real World application of Inverse Functions

​

​

​

​

 

​

​

​

​

​

​

​

​

​

​

Conclusion:

In conclusion, you can use Cosine Law to solve for triangles when you are lacking one side or one angle. Make sure you label your triangle appropriately and to remember that your calculator is your best friend. You can use Sine Law to solve for triangles by knowing two sides and one angle or two angles and one side. Simply plug in the appropriate numbers into the formula and solve. It is important to keep in mind that sometimes it may be necessary to use Sine Law along with Cosine Law to solve for a triangle.