College Algebra 7th Edition

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

Chapter 2, Functions - Chapter 2 Review - Exercises: 18

Answer

the domain is: $(-1,\ \infty)$

Work Step by Step

We are given: $f(x)=3x- \frac{2}{\sqrt{x+1}}$ We can not take the square root of a negative number, so: $x+1\geq 0$ $ x\geq -1$ We also can't have a zero denominator: $x+1\ne 0$ $ x\ne -1$ Thus overall: $ x\gt -1$. Therefore, the domain is: $(-1,\ \infty)$.
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