Answer
Vertical asymptote:$\quad x=2$
The domain of g:$\quad (2,+\infty)$
The range of g:$\quad (-\infty,+\infty)$
.
Work Step by Step
(See table 4.5,
Transformations involving Logarithmic Functions)
$f(x)=\log x$
$g(x)=\log(x-2)=f(x-2)$ so
the graph of $g(x)$ (blue) is obtained
from the graph of f(x) (red)
by
shifting it right by 2 units.
Vertical asymptote:$\quad x=2$
The domain of g:$\quad (2,+\infty)$
The range of g:$\quad (-\infty,+\infty)$
