   Chapter 1.1, Problem 31E ### 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.31. f ( x ) = x + 4 x 2 − 9

To determine

To find: The domain of the function.

Explanation

Given:

The function f(x)=x+4x29 .

Calculation:

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

Consider the denominator of the function f(x) and equate to zero to obtain the undefined points.

Since the denominator of the function is x29 , the undefined points are obtained from x29=0 .

Add 9 on both sides of the equation.

x29+9=0+9x2=9x=±3

Thus, the solutions are, x=3 and x=3

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Expand each expression in Exercises 122. (xx2)(x+x2)

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Factor each expression in Problems 7-18 as a product of binomials. 10.

Mathematical Applications for the Management, Life, and Social Sciences

#### True or False: The degree of f (x) = 4x3 + 7x6 + 1 is 7.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### True or False: is monotonic.

Study Guide for Stewart's Multivariable Calculus, 8th 