Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - Review Exercises: Chapter 7 - Page 496: 20


Domain = $\mathbb{R}\backslash\{1\}$ or $\{x\in \mathbb{R}|x\neq 1\}$

Work Step by Step

The domain of a real function ( a function defined on real numbers) is the set of numbers for which f(x) is defined (for which f(x) can be calculated). $g(x)=\displaystyle \frac{x^{2}}{x-1}$ can be calculated for any real x, except x=1, which yields zero in the denominator. Domain = $\mathbb{R}\backslash\{1\}$ or $\{x\in \mathbb{R}|x\neq 1\}$
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