College Algebra (10th Edition)

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

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding: 115

Answer

No, not the same.

Work Step by Step

No, the functions $f(x)=x - 1$ and $g(x)=\frac{x^2-1}{x+1}$ are not the same, because they have different domains. The domain of $f$ is all real numbers, but the domain of $g$ is all real numbers except $-1$ ($x\ne -1$) because the denominator can't be negative.
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