Answer
domain of $f=(0,\infty)$
range of $f=(-\infty,\infty)$
asymptote of $ f:\quad x=0$
domain of $g=(-3,\infty)$
range of $g=(-\infty,\infty)$
asymptote of $g:\quad x=-3$
.
Work Step by Step
$f(x)=\log x$
$g(x)=-\log(x+3)=-f(x+3)$
The graph of h is obtained by
shifting the graph of f left by 3 units,
then reflecting about the x-axis
domain of $f=(0,\infty)$
range of $f=(-\infty,\infty)$
asymptote of $ f:\quad x=0$
domain of $g=(-3,\infty)$
range of $g=(-\infty,\infty)$
asymptote of $g:\quad x=-3$
