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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College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 58SE: Recall that an exponential function is any equationwritten in the form f(x)=abx such that a and b...

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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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