College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding - Page 211: 65


The Domain is {All real numbers, $t \ge 4, t \ne7$}

Work Step by Step

To find the domain, we must set the denominator equal to 0, and solve for $t$. $$3t-21=0$$ $$3(t-7)=0$$ $$t\ne7$$ It is important that we do not divide the whole equation by 3 in the first step. We instead need to factor out a 3. Also, t must be greater than or equal to 4, or the value inside the radical would be negative.
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