Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.1 - Rational Functions and Asymptotes - 4.1 Exercises - Page 315: 11


Domain: X is on the interval ($-\infty$, 1) U (1, $\infty$)

Work Step by Step

A denominator cannot be zero, so the domain is all real numbers except the x value where the denominator is 0. In this problem the denominator is $x^{2}$ - 2x + 1, so: $x^{2}$ - 2x + 1 = 0 This can be factored into: (x-1)(x-1) = 0 x = 1 Therefore, the domain is all real numbers except where x = 1.
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