Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.5 - Inverse Functions and Logarithms - 1.5 Exercises - Page 67: 49

Answer

a) Domain: $(0,\infty)$ Range: $(-\infty,\infty)$ b) $x=e^{-2}$ c) See graph.

Work Step by Step

a)The value $\ln x$ does not exist for negative $x$ values, therefore the domain must be all real numbers above 0. The range is all real numbers because we can make f(x) infinitely small by using x values that approach 0, and we can make f(x) infinitely large by making x values infinitely large. b) $\ln x+2=0$ $\ln x=-2$ $x=e^{-2}$ c) See graph.
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