Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - Test: Chapter 7 - Page 498: 20


All real numbers except -.5 and 0.

Work Step by Step

Once again, $g$ has a domain restriction that it cannot be $0$, for it has $x$ in the denominator of a fraction. However, since we are dividing by $h$, it is also in the denominator of the fraction and cannot be 0. Thus, we see that the function also does not exist when $x$ equals -.5. Thus, the domain is all real numbers except -.5 and 0.
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