1. Pre-Calculus Function Operations

2. Objective To perform operations on functions and to determine the domains of the resulting functions.

3. The sum, difference, product, and quotient of functions.

5. The Composition Function This is read “f composition g” and means to copy the f function down but where ever you see an x, substitute in the g function.

6. This is read “g composition f” and means to copy the g function down but where ever you see an x, substitute in the f function.

7. This is read “f composition f” and means to copy the f function down but where ever you see an x, substitute in the f function. (So sub the function into itself).

9. Domain when Adding, Subtracting, Multiplying, or Dividing Functions

10. Domain when Composing Functions

11. Dart Throw Scoring Board -20 points if the dart does not land inside the square or if it falls on the ground No points if the dart lands in the white region 100 10 70 50 30 100 20 100 20 70 50 30 20 10 30

12. Question 1

13. Question 2

14. Question 3

15. Question 4

16. Question 5

17. Question 6

18. Question 7

19. Question 8

20. Question 9

21. Question 10

22. Dart Throw Scoring Board -20 points if the dart does not land inside the square or if it falls on the ground No points if the dart lands in the white region 100 10 70 50 30 100 20 100 20 70 50 30 20 10 30

23. A Challenge Example of Composite Functions Try it !!

24. g(x) = 2x² + 7x -1

25. Homework Function Operations WS