chapter 5 lesson 1 (operations with functions) 5 (lesson... · chapter 5 (lesson 1).notebook...

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.


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)



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)


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?



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)


Example 5

Use the graph of f(x) and g(x) to fine the following

A.) (g + f)(0)

B.) (g/f)(3)



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

chapter 5 lesson 1 (operations with functions) 5 (lesson... · chapter 5 (lesson 1).notebook...

Documents