   Chapter 1.1, Problem 36E ### 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

# Find the domain of the function.36. f ( u ) = u + 1 1 + 1 u + 1

To determine

To find: The domain of the function f(u)=u+11+1u+1.

Explanation

Definition used:

The domain is the set of all input values of the function for which the function is real and defined.

Calculation:

The given function is a combination of two fractions.

Consider the denominator of the fraction 1u+1 and equate to zero.

u+1=0u=1

Simplify the given function as follows.

u+11+1u+1=u+1(u+1+1u+1)=u+1(u+2u+1)=(u+1)2u+2

Equate the denominator u+2 to zero and obtain the undefined point

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