College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises - Page 193: 56


$(-\infty,\ 2)\cup (2,\ \infty)$

Work Step by Step

We are given: $f(x)= \frac{1}{3x-6}$ The domain of a function consists of all the values that $x$ is allowed to have. In this case, we can not have division by $0$: $3x-6\ne 0$ $3x\ne6$ $x\ne2$ Thus the domain is: $(-\infty,\ 2)\cup (2,\ \infty)$
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