1. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
Here is what you need to do.
Look at this power point
Do the “Try these” examples, you have the answers at the bottom of the page
Look at the videos at the end of the power point
Go to class ready to with the “Try these” problems worked out ready to submit
Be prepared to work on some new problems in class before leaving.
College Algebra N.DeHerrera

2. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
Objective I:Arithmetic Combinations of Functions
(f + g)(x) = f(x) + g(x) Sum
(f  g)(x) = f(x)  g(x) Difference
(fg)(x) = f(x)  g(x) Product
Quotient
These are some formulas you need to memorize for the test.
College Algebra N.DeHerrera

3. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
For the following find :
(f+g)(x)
(f-g)(x)
(fg)(x)
(f/g)(x) and the domain of (f/g)
College Algebra N.DeHerrera

4. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
College Algebra N.DeHerrera

5. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
College Algebra N.DeHerrera

6. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
College Algebra N.DeHerrera

7. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
College Algebra N.DeHerrera

8. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
The following are examples of arithmetic combination of functions given a value.
College Algebra N.DeHerrera

9. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
College Algebra N.DeHerrera

10. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
College Algebra N.DeHerrera

11. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
If f and g are functions, then the composite functions, or composition, of g and f is defined by The domain of is the set of all numbers x in the domain of f such that f(x) is in the domain of g.
Objective II: Composition of Functions
College Algebra N.DeHerrera

12. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
College Algebra N.DeHerrera

13. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
College Algebra N.DeHerrera

14. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
College Algebra N.DeHerrera

15. 2.6 Combination of Functions and Composite Functions
College Algebra N .DeHerrera
2.6 Combination of Functions and Composite Functions
Go to this web-site to look at videos
Select Algebra
Select Functions
Domain and Range
Function notation
College Algebra N.DeHerrera