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: 62

Answer

Domain: $(-\infty,\ \frac{7}{3}]$

Work Step by Step

We are given: $g(x)=\sqrt{7-3x}$ 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: $7-3x \geq 0$ $7\geq 3x$ $\frac{7}{3}\geq x$ $x\leq\frac{7}{3}$ Therefore, the domain is: $(-\infty,\ \frac{7}{3}]$
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