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