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...
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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 =
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