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

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.

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)

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.

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

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) = x2 + 7. Find (g ° ƒ)(2).

Find f(g(x)) Find g(f(x))

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))

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.

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?

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