1. 7.6 Function Operations Objectives: To add, subtract, multiply and divide functions. To find the composite of two functions.

2. Function Operations • Addition: • Subtraction: • Multiplication: • Division: • Domains: consist of the x-values that are in the domains of both . • When finding the domain of a quotient function it does not contain an which makes

3. Example 1: Let . Find and their domains.

4. Example 2: Let . Find and their domains.

5. Example 3: Let . Find and their domains.

6. Example 4: Let . Find and their domains.

7. Composition Functions • The composition of function with function is written as and is defined as . • The domain of consists of the values in the domain of for which is in the domain of . 1) Evaluate 2) Use your result as the input for

8. Example 5: Let find .

9. Example 6: Let find .

10. Example 7: Let find .

11. Example 8:Kohl’s is having a 20% off everything in the store sale! In addition, you have a coupon for $3 off. • Use functions to model applying the 20% discount and to model applying the coupon. • Use a composition of your two functions to model how much you would pay for an item if the cashier applies the discount 1st and then the coupon. • Use a composition of your two functions to model how much you would pay for an item if the cashier applies the coupon 1st and then the discount. • How much more is any item if the clerk applies the discount first?

12. Practice: • P 400: Example 4 Quick Check • P 401: 18, 24, 42,

13. Homework • P 400 – 401: 1,3, 5, 17, 23, 29, 37, 41, 43, 65, 67