Explanation Given information : g ( x ) = x 2 − 1 x 2 + x − 2 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 mail restrictions: Negative inside an even square root if we have a radical function Zero in the denominator if we have a rational function Note: Polynomials will not have any restrictions. Domain of polynomial will be all real numbers. Calculation: Description Steps Factor the numerator and denominator of given function g ( x ) = x 2 − 1 x 2 + x − 2 = ( x + 1 ) ( x − 1 ) ( x + 2 ) ( x − 1 ) To find the restriction on domain Set the denominator to zero and solve for x ( x + 2 ) ( x <

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 14PS

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Toidentify:all suspicious points and points of discontinuity.

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Chapter 2.3, Problem 13PS

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Chapter 2 Solutions

Calculus

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Intro to the Laplace Transform & Three Examples; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=KqokoYr_h1A;License: Standard YouTube License, CC-BY

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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Toidentify:all suspicious points and points of discontinuity.

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Chapter 2 Solutions