The implied domain is the set of all real numbers for which the expression is defined. The domain excludes x-values that result in division by zero. To find these excluded x-values, first set the denominator of the function equal to 0. Then factor the left side of the equation, set each factor equal to 0, and solve to find the values of x that result in division by zero. Doing so gives the following result. x² - 3x = 0 x Your answer cannot be understood or graded. More Information = 0 x(x-[ The first factor, x, gives the zero x = 0. The other factor gives the following zero. (x - [ = 0 X = The domain is therefore all real numbers except x = 0 and x =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
The implied domain is the set of all real numbers for which the expression is defined.
The domain excludes x-values that result in division by zero. To find these excluded x-values, first set the denominator of the function equal to 0. Then factor the left side of the
equation, set each factor equal to 0, and solve to find the values of x that result in division by zero. Doing so gives the following result.
x² - 3x = 0
* Your answer cannot be understood or graded. More Information) = 0
x(x −1
The first factor, x, gives the zero x = 0. The other factor gives the following zero.
(x-
= 0
X =
The domain is therefore all real numbers except x = 0 and x =
Transcribed Image Text:The implied domain is the set of all real numbers for which the expression is defined. The domain excludes x-values that result in division by zero. To find these excluded x-values, first set the denominator of the function equal to 0. Then factor the left side of the equation, set each factor equal to 0, and solve to find the values of x that result in division by zero. Doing so gives the following result. x² - 3x = 0 * Your answer cannot be understood or graded. More Information) = 0 x(x −1 The first factor, x, gives the zero x = 0. The other factor gives the following zero. (x- = 0 X = The domain is therefore all real numbers except x = 0 and x =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning