College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.2 - Algebra Essentials - R.2 Assess Your Understanding - Page 27: 63

Answer

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Work Step by Step

RECALL: The denominator of a rational expression is not allowed to be equal to zero since division of zero is undefined. Note that for any real number, the value of $x^2$ will always be zero or higher. This means that the value of $x^2+1$ is always 1 or higher. Since the value of the denominator will never be zero, the value of $x$ can be any real number. Thus, no value of the variable will be excluded from its domain.
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