College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.6 - Page 297: 16

Answer

$(-∞,2)∪(2,\frac{10}{3})∪(\frac{10}{3},∞)$

Work Step by Step

Making $x=2,\frac{10}{3}$ results in an undefined function, so those values are excluded from the domain. $f(x)=\frac{1}{\frac{4}{x-2}-3}$ $(-∞,2)∪(2,\frac{10}{3})∪(\frac{10}{3},∞)$
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