1. Lesson 4-2 Operations on Functions

2. We can do some basic operations on functions.

3. We can add, subtract, multiply and divide functions.

4. If given functions f(x) and g(x):

5. The sum of functions f and g is

6. If given functions f(x) and g(x): The sum of functions f and g is

7. If given functions f(x) and g(x): The difference of functions f and g is

8. If given functions f(x) and g(x): The difference of functions f and g is

9. If given functions f(x) and g(x): The product of functions f and g is

10. If given functions f(x) and g(x): The product of functions f and g is

11. If given functions f(x) and g(x): The quotient of functions f and g is

12. Example: Let f(x) = x + 1 and g(x) = x 2 – 1, find a rule for each of the following functions.

13. Example: Let f(x) = x + 1 and g(x) = x 2 – 1, find a rule for each of the following functions.

14. Example: Let f(x) = x + 1 and g(x) = x 2 – 1, find a rule for each of the following functions.

15. Another way of combining functions is called composition of functions.

16. This is simply a process of substituting a functions rule in for the variable in a 2 nd function.

17. Example:

23. Assignment: Pgs. 127-129 C. E.  1-13 all, W.E.  1-19 odd