Chapter 4 - Summary, Review, and Test - Review Exercises - Page 511: 40

domain of $f=(0,\infty)$ range of $f=(-\infty,\infty)$ asymptote of $ f:\quad x=0$ domain of $g=(0,\infty)$ range of $g=(-\infty,\infty)$ asymptote of $g:\quad x=0$ .

$f(x)=\ln x$ $g(x)=-\ln(2x)=-f(2x)$ The graph of g is obtained from the graph of f by horizontally compressing it by factor 2, then reflecting about the x-axis domain of $f=(0,\infty)$ range of $f=(-\infty,\infty)$ asymptote of $ f:\quad x=0$ domain of $g=(0,\infty)$ range of $g=(-\infty,\infty)$ asymptote of $g:\quad x=0$ .