Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.3 The Basic Classes of Functions - Exercises - Page 22: 4

Answer

$ R-\{0\}$.

Work Step by Step

The domain of any function consists of the values it can take on the x-axis, whereas the range consists of the values it can take on the y-axis. Note that $ h(z)$ is not defined for $ z=0$ because division by zero is undefined. Thus, the domain of $ h $ is $ R-\{0\}$.
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