Upload
vuthuy
View
233
Download
1
Embed Size (px)
Citation preview
Chapter 5 (Lesson 1).notebook November 14, 2017
Chapter 5Lesson 1 (Operations with Functions)
Chapter 5Lesson 1 (Operations with Functions)
Chapter 5 (Lesson 1).notebook November 14, 2017
Chapter 5Lesson 1 (Operations with Functions)
Perform Operations with Functions You can use these rules to perform operations with functions.
Chapter 5Lesson 1 (Operations with Functions)
Example 1
Given f(x) = 3x2 + 7x and g(x) = 2x2 x 1, find each function.
A.) (f + g)(x)
B.) (f g)(x)
C.) (f + g)(2)
Chapter 5 (Lesson 1).notebook November 14, 2017
Chapter 5Lesson 1 (Operations with Functions)
Example 2
Given f(x) = 2x2 5x 12 and g(x) = x 4, find each function. Indicate any restrictions in the domain or range
A.) (f g)(x)
B.) (f / g)(x)
C.) (f g)(2)
Chapter 5Lesson 1 (Operations with Functions)
Example 3
Imelda is buying tickets to an aquarium for a school trip. Adult tickets cost $24 and student tickets cost $15. There will be 3 adult chaperones on the trip.
A.) Write a function C(x) that represents the total cost of the tickets, where x is the number of students on the trip.
B.) Everyone who goes on the trip will split the total cost of the tickets evenly. Write a function N(x) to represent the number of people who will contribute to paying for the trip.
C.) Find (C/N)(x) and explain what this function represents.
D.) If 20 students go on the trip, how much will each person pay?
Chapter 5 (Lesson 1).notebook November 14, 2017
Chapter 5Lesson 1 (Operations with Functions)
Example 4
Use the table to the right to find each value
A.) (f + h)(3)
B.) (f h g)(2)
C.) (hf)(3)
D.) (f/g)(2)
E.) (h/g)(3)
Chapter 5Lesson 1 (Operations with Functions)
Example 5
Use the graph of f(x) and g(x) to fine the following
A.) (g + f)(0)
B.) (g/f)(3)
Chapter 5 (Lesson 1).notebook November 14, 2017
Chapter 5Lesson 1 (Operations with Functions)
Example 6
If f(x) = 3x2 4, and g(x) = x2 8x + 4, find each value
A.) (2f + g)(2)
B.) (3f/(2g + f))(1)
Assignment
Page 318541 odds, 5052