Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Review - Exercises - Page 70: 5

Answer

Domain: $(-\infty, \frac{1}{3})\cup (\frac{1}{3}, \infty)$ Range: $(-\infty, 0)\cup (0, \infty)$

Work Step by Step

Domain: all real x except when $3x-1=0, x=\frac{1}{3}$ Range: When $x$ approaches $\pm\infty , y$ approaches $0$ as the denominator $3x-1$ becomes very large. So the range is all real $y$, except $y=0$.
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