Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.1 - Functions and Their Graphs - Exercises 1.1: 18

Answer

The domain is $(-\infty, 0]$

Work Step by Step

When $x>0$, the function is a square root of a negative number, so it's only defined in the domain $(-\infty, 0]$ (After all, the square root of a negative number is not a real number.) The picture is provided below.
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