Answer
Vertical asymptote:$\quad x=0$
The domain of g:$\quad (0,+\infty)$
The range of g:$\quad (-\infty,+\infty)$
Work Step by Step
(See table 4.5,
Transformations involving Logarithmic functions)
$f(x)=\log_{2}x$
$g(x)=$2$+\log_{2}x=f(x)+$2 so
the graph of $g(x)$ (blue) is obtained
from the graph of f(x) (red)
by
vertically shrinking it by factor $\displaystyle \frac{1}{2}.$
Vertical asymptote:$\quad x=0$
The domain of g:$\quad (0,+\infty)$
The range of g:$\quad (-\infty,+\infty)$