Explanation Given information : f ( x ) = 3 x + 5 2 x + 1 Concept Involved: Domain of a function means the values of the input that gives a defined output to the function. Whenever we are finding the domain, we need to look out for two main restrictions: Negative inside an even square root if we have a radical function Zero in the denominator if we have a rational function Calculation: Description Steps Identify the type of function f ( x ) = 3 x + 5 2 x + 1 is rational function To find the restriction of rational function, we need to set the denominator to zero 2 x + 1 = 0 In the process of solving for x, we need to subtract 1 on both sides 2 x + 1 − 1 = 0 − 1

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 2.3, Problem 10PS

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Toidentify:all suspicious points and points of discontinuity.

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Chapter 2.3, Problem 9PS

Chapter 2.3, Problem 11PS

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Chapter 2 Solutions

Calculus

Ch. 2.1 - Prob. 1PS Ch. 2.1 - Prob. 2PS Ch. 2.1 - Prob. 3PS Ch. 2.1 - Prob. 4PS Ch. 2.1 - Prob. 5PS Ch. 2.1 - Prob. 6PS Ch. 2.1 - Prob. 7PS Ch. 2.1 - Prob. 8PS Ch. 2.1 - Prob. 9PS Ch. 2.1 - Prob. 10PS

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Toidentify :all suspicious points and points of discontinuity.

Solution Summary: The author explains that the domain of a function is the values of the input that gives an output to the function.

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Chapter 2 Solutions