College Algebra 7th Edition

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

Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Review - Concept Check: 17

Answer

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

Work Step by Step

We are asked to find the domain of: $f(x)=10^{x^{2}}+\log(1-2x)$ We can't take a log of a negative number (or 0), so: $1-2x\gt 0$ $-2x\gt -1$ $x\lt \frac{1}{2}$ Therefore, the domain is: $(-\infty,\ \frac{1}{2})$
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