Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - Chapter 11 Test - Page 521: 22


The answer is below.

Work Step by Step

The domain is all real numbers except 7/2. After all, the only thing that restricts the domain of this function is the denominator of the fraction being zero. Thus, we set it equal to zero to find: $$2x-7 = 0 \\ 2x = 7 \\ x = 7/2$$ Thus, x can be any number besides 7/2.
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