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   Lessons with
Brief Descriptions

1 Introduction
2 Relation
3 Relation
4 Domain/Range
5 Domain/Range
6 Assignment 1
7 Functions
8 Domain/Range
9 Graphs
10 Function Notation
11 Assignment 2
12 Representing Functions
13 Linear Functions
14 Quadratic Functions
15 Arithmetic Operations
16 Assignment 3

 

Arithmetic Operations with Functions Lesson 15
Material to supplement MTH 120: Beginning Algebra Online

Arithmetic Operations

Arithmetic operations are addition, subtraction, multiplication and division. You will find that you have already have done many of these problems when you were working with polynomials, rational expressions, and/or radical expressions. Assume all rational expressions are defined over real numbers.

Problem 1 (addition): Let problem 1

Solution Problem 1:

solution to problem 1

Problem 2 (subtraction): Letproblem 2

Solution Problem 2:

solution to problem 2

Problem 3 (multiplication): Let problem 3

Solution Problem 3:

solution to problem 3

Problem 4 (division): Let problem 4

Solution Problem 4:

solution to problem 4

Problem 5: Let f(x) = 5x - 6, g(x) = x -1; find 2f(x) - (g(x))2

Solution Problem 5:

2f(x) = 2(5x - 6) = 10x - 12

(g(x))2 = (x -1)2 = x2 - 2x + 1

2f(x) - (g(x))2 = (10x - 12) - (x2 - 2x + 1) = 10x - 12 - x2 + 2x -1 = - x2 +12x -13

 

Click here to go to Lesson 16: Exercises for Lessons 12 - 15.