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 Test - Page 327: 2

Answer

a) $t\gt1.5$ b) $-1\gt x\cup 1\lt x$

Work Step by Step

We know that the argument must be positive for both functions because we can not take the log of a non-positive number. a) Hence the domain is: $2t-3\gt0\\2t\gt3\\t\gt1.5$ b) Hence the domain is: $x^2-1\gt0\\x^2\gt1$ Thus, we have the domain: $-1\gt x\cup 1\lt x$
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