College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises - Page 193: 64

Answer

Domain $(-\infty,-2)\cup(2,+\infty)$

Work Step by Step

We are given: $g(x)=\sqrt x^{2}-4$ The domain of a function consists of all values that x is allowed to have. In this case, we can not take the square root of a negative number, so: $x^{2}-4\geq0$ $(x-2)(x+2)\geq0$ $x\geq2$ or $x\geq-2$ Thus the domain is $(-\infty,-2)\cup(2,+\infty)$
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