Answer
Thus the domain is: $(0,1)$
Work Step by Step
The given function $g(x)=\ln(x-x^2)$
$\ln x$ is defined when $x \gt 0$
Thus the domain of $f$ is:
$\{x|x-x^2\gt 0\} $
$0 \lt x \lt 1 $
Thus the domain is: $(0,1)$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 388: 76
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