Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - Chapter Review - Cumulative Review - Page 165: 9


All real numbers except $\frac{7}{6}$.

Work Step by Step

The denominator of a fraction cannot be $0$, hence for the domain of the given function is the set that contains any real number except the one that makes $6z-7$ equal to $0$. To find the domain, solve the equation $6x-7=0$ and exclude it from the domain to obtain: $6x-7=0\\ 6x=7\\ x=\frac{7}{6}$ Thus, the domain is the set of real numbers except $\frac{7}{6}.$
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