College Algebra 7th Edition

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

Chapter 2, Functions - Section 2.7 - Combining Functions - 2.7 Exercises: 17

Answer

$[0, 3 ]$

Work Step by Step

We are given: $f(x)=\sqrt{x}+\sqrt{3-x}$ The domain of $\sqrt{x}$ is $[0,\ \infty)$. The domain of $\sqrt{3-x}$ is $(-\infty, 3]$. Therefore, the domain of $f(x)$ is the intersection of the two domains: $(-\infty,\ 3]\cap [0,\ \infty)=[0, 3 ]$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.