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)
$f(x)=\log x$
$h(x)=\log x-1=f(x)-1$ so
the graph of $g(x)$ (blue) is obtained
from the graph of f(x) (red)
by
shifting it down by 1 unit.
Vertical asymptote:$\quad x=0$
Domain :$\quad (0,+\infty)$
Range :$\quad (-\infty,+\infty)$