1. 7.2 I NVERSES OF R ELATIONS AND F UNCTIONS

2. A CTIVITY ON PAGE 497 What did you discover? What is the relationship between the domain and range of a function and its inverse.

3. W HAT IS AN INVERSE ? To find the inverse of a function, you___________ To graph the inverse of a function, what do you do?

4. W HAT ABOUT A TABLE ? Graph this relation and connect the points. Then graph the inverse. Identify the domain and range of each relation. x0158 y2569

5. N OTATION If the inverse of a function is itself a function, then it’s notation is f -1 (x) Example: the inverse of f(x) = x + 6 is also an inverse. It is f -1 (x) = x - 6

6. I NVERSE OPERATIONS Use inverse operations to write the inverse of each function: f(x) = 2x f(x) = x +

7. G RAPH F ( X ) = 3 X + 6. T HEN WRITE AND GRAPH THE INVERSE.

8. A CLERK NEEDS TO PRICE A DIGITAL CAMERA RETURNED BY A CUSTOMER. T HE CUSTOMER PAID A TOTAL OF $103.14, WHICH INCLUDED A GIFT - WRAPPING CHARGE OF $3 AND 8% SALES TAX. W HAT PRICE SHOULD THE CLERK MARK ON THE TAG ? Step 1: Write an equation for the total cost as a function of price. Find the inverse function that models price as a function of cost. (When it’s real-world problems, DO NOT switch the variables, since they have specific quantities associated with them). Evaluate the inverse function for c = $103.14