College Algebra 7th Edition

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

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises: 11

Answer

The domain is $\left\{x| x \ge -3\right\}$.

Work Step by Step

The square root is defined only when the radicand (number/expression inside the radical sign) is non-negative. To find the values of $x$ for which the given expression is defined, solve the inequality $x+3 \ge 0$ to obtain: $x+3 \ge 0 \\x+3-3 \ge 0-3 \\x \ge -3$ Thus, the domain of the given expression is the set of all real numbers greater than or equal to $-3$.
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