Answer
Vertical asymptote:$\quad x=0$
Domain :$\quad (0,+\infty)$
Range :$\quad (-\infty,+\infty)$
.
Work Step by Step
(See table 4.5,
Transformations involving Logarithmic Functions)
$f(x)=\log x$
$g(x)=2-\log x=-f(x)+2$ so
the graph of $g(x)$ (blue) is obtained
from the graph of f(x) (red)
by
1. reflecting it about the x-axis (blue, dashed)
2. shifting it up by $2$ units.
Vertical asymptote:$\quad x=0$
Domain :$\quad (0,+\infty)$
Range :$\quad (-\infty,+\infty)$