1. Algebra 2 Unit 9: Functional Relationships Topic: Operations with Functions

2. Function Operation Rules (Note cards) Addition/Subtraction Addition/Subtraction Multiplication Multiplication Division Division

3. Using Function Operation Rules Given the following functions, find (f – g)(x). Given the following functions, find (f – g)(x). Using the proper rule, we can set up (f – g)(x) as… Combine like terms & simplify.

4. Using Function Operation Rules Given the following functions, find (f/g)(x). Given the following functions, find (f/g)(x). Using the proper rule, we can set up (f /g)(x) as… Factor numerator & denominator. Simplify. Remember to note that x ≠ 1.

5. Composition of Functions (Note card) A composite function is notated A composite function is notated Composite Function Rule Composite Function Rule

6. Writing Composite Functions Given the following functions, find (f ◦g)(x). State the domain of the resulting function. Given the following functions, find (f ◦g)(x). State the domain of the resulting function. Substitute the rule for g (x) as the value of x in f (x). Distribute & identify any values of x that would make the function undefined. Since x ≠ 1, the domain of the composite function (f ◦ g)(x) would be…

7. Evaluating Composite Functions Given the following functions, find (g ◦f )(3). Given the following functions, find (g ◦f )(3). Using our rule for composition of functions, we are really looking for… Find f (3). Now find g (4).

8. Homework Quest: Operations with Functions Due Friday, 4/20