Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - Chapter Review - Review Exercises - Page 113: 27

Answer

$(-\infty,0)\cup(0,\infty)$

Work Step by Step

$y =\displaystyle \frac{3x-4}{x}$ is defined for all x that do not yield 0 in the denominator. That is, for all real numbers except 0. Domain=$\{x\in \mathbb{R}|x\neq 0 \}, $or, in interval notation, $(-\infty,0)\cup(0,\infty)$
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