   Chapter 1.1, Problem 30E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Evaluate the difference quotient for the given function. Simplify your answer.30. f ( x ) = x + 3 x + 1 , f ( x ) − f ( 1 ) x − 1

To determine

To find: The difference quotient f(x)f(1)x1 of the function f(x)=x+3x+1 .

Explanation

Given:

The function f(x)=x+3x+1 .

Calculation:

Evaluate f(1) , replacing x by 1 in the expression for f(x) .

f(1)=1+31+1=42=2

Substitute f(x) and f(1) into the difference quotient expression and simplify.

f(x)f(1)x1=x+3x+12x1=(

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