1. L7-6 Obj: Students will add, subtract, multiply and divide functions
Students will find composite functions
Important Terms
Function
Composite Function

2. Function Operations
LESSON 7-6
Additional Examples
Let ƒ(x) = –2x + 6 and g(x) = 5x – 7. Find ƒ + g and ƒ – g and their domains.

3. Practice If f(x) = x + 7 and g(x) = x² - x + 1
Find each answer and the domain
1. f(x) + g(x)
2. g(x) – f(x)

4. Let ƒ(x) = x2 + 1 and g(x) = x4 – 1. Find ƒ • g and and their domains.
Function Operations
LESSON 7-6
Additional Examples ƒ g
Let ƒ(x) = x2 + 1 and g(x) = x4 – 1. Find ƒ • g and and their domains.

5. Practice
If g(x)= x² + 2 and g(x) = x – 10
1. g(x)·f(x)
2. f(x)/g(x)

6. Let ƒ(x) = x3 and g(x) = x2 + 7. Find (g ° ƒ)(2).
Function Operations
LESSON 7-6
Additional Examples
Let ƒ(x) = x3 and g(x) = x Find (g ° ƒ)(2).

7. Find f(g(x))
Find g(f(x))

8. White Board f(x) + g(x) f(x) – g(x) f(x)g(x) f(x)/g(x) f(g(x)) g(f(x))
f(f(x))
f(g(3))
g(g(2))
g(f(-4))

9. Let x = the original price.
Function Operations
LESSON 7-6
Additional Examples
A store offers a 20% discount on all items. You have a coupon worth $3.
a. Use functions to model discounting an item by 20% and to model applying the coupon.
Let x = the original price.
b. Use a composition of your two functions to model how much you would pay for an item if the clerk applies the discount first and then the coupon.

10. d. How much more is any item if the clerk applies the coupon first?
Function Operations
LESSON 7-6
Additional Examples
(continued)
c. Use a composition of your two functions to model how much you would pay for an item if the clerk applies the coupon first and then the discount.
d. How much more is any item if the clerk applies the coupon first?

11. Homework
7.6 (p 406) #8-18e 22-40t 46-52e 64-68e