1. Bellwork Pick up the Domain/Range worksheet and work on the first four (bottom left—pg. 216) with your partner. There is an answer bank on the last sheet. The notation [-3, 3] means that x is between -3 and 3. After you’ve completed the first four, choose a problem to do on the board.

2. Operations with Functions 2.4a

3. Operations with Functions Each function listed below is defined for all x in the domains of both f and g: Sum:(f + g)(x) = f(x) + g(x) Difference(f - g)(x) = f(x) - g(x) Product Quotient

4. Example 1 Let and. Find: (f + g)(x) (f – g)(x)

5. Example 1 Let and. Find: (f – g)(2)

6. Example 1 Let and. Find:, list any restrictions.

7. Ticket to Leave: If and, find:, list any restrictions.

8. Group Work Do pg. 114 # 4-7 in groups. I will choose for students randomly to go to the board to work through and explain the four problems.

9. Homework Pg. 114 #11-29 odd, 67, 71 Quiz tomorrow over 2.1-2.4a

10. Definitions: Composite of Functions The composite of f and g is when one function is substituted into another function. The composite of f and g, denoted by, is defined by two conditions: 1. is read “f of g of x.” 2. x is the domain of g. g(x) is the domain of f.

11. Example 2 If, and, then find:

12. Example 2 If, and, then find: g(h(x)) f(g(h(x)))