1. Objective: Find inverse functions. Warm up 1. a.Find (f o g)(x). b.Find the domain of f(g(x)).

2. 2. a.Find f + g and its domain. a.Find f – g and its domain. a.Find and its domain.

3. 3. Graph using transformations.

4. Example 1 Relation show number of students who got at least 90 on a quiz. (10, 90); (7, 90); (11, 90); (9, 90); (8, 90) a.Is the relation a function? b.Find the inverse. c.Is the inverse a function?

5. Example 2 Find the inverse. a. b.

6. c.

7. Quiz Tomorrow 1.6 Graphing using transformations:. Order of transformations.. Applying multiple transformations to functions such as: 1.7. Finding domain of functions (no graphs).. Finding composition of functions such as f(g(x)) or g(f(x)). Assignment Pg 272 #65, 67, 72, 75, 77, 88, 89, 90, 94, 96

8. Objective: Verify inverse functions. Warm up 1.Find the inverse function.

9. Inverse Functions Let f and g be two functions if f(g(x))=x and g(f(x))=x then f and g are inverse functions. Example 1 Verify and are inverse..

10. Example 2

11. Example 3 Verify and are inverse.

12. Assignment Pg 230 #35,36,45,46 Pg 240 #16, 18,24,25,26,27 Quiz Tomorrow on 1.6 and 1.7

13. f(x)= Fahrenheit, x=Celsius ; when x =30, then f(x)=86 g(x)=Celsius, x=Fahrenheit ; when x=86, then g(x)=?