Answer
please see image:
Work Step by Step
We start with the graph of $f(x)=\log_{5}(x)$ (dashed blue).
Since g(x)$=\log_{5}(-x)=f(-x)$
its graph (red) is obtained by reflecting f(x) about the y-axis.
Domain of g:$\qquad(-\infty,0)$
Range of g:$\qquad(-\infty,+\infty)$
Vertical asymptote: $\qquad x=0$
