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.
