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 - Page 193: 63


Domain: $(-\infty, \frac{1}{2}]$

Work Step by Step

We are given: $f(x)=\sqrt{1-2x}$ 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: $1-2x \geq 0$ $1\geq 2x$ $\frac{1}{2}\geq x$ $ x\leq\frac{1}{2}$ Thus the domain is: $(-\infty, \frac{1}{2}]$
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