Recall: What are the two restrictions on the domain of a function? (We will learn a new restriction in Chapter 4 when we discuss logarithmic functions.) When we write (f+g)(x) = f(x) + g(x) , what does this mean? Explain in your own words. Complete the following:(f-g)(x)(fg)(x)(f/g)(x) Explain how to find the domain of functions that are combined algebraically with addition, subtraction, multiplication, or division. What is the formula for the difference quotient? Define the composition of functions. Explain how to find the domain of a composition of functions.

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 41E

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Recall: What are the two restrictions on the domain of a function? (We will learn a new restriction in Chapter 4 when we discuss logarithmic functions.)

When we write (f+g)(x) = f(x) + g(x) , what does this mean? Explain in your own words.

Complete the following:
1. (f-g)(x)
2. (fg)(x)
3. (f/g)(x)

Explain how to find the domain of functions that are combined algebraically with addition, subtraction, multiplication, or division.

What is the formula for the difference quotient?

Define the composition of functions.

Explain how to find the domain of a composition of functions.

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