Question 1043505
Asymptote (vertical) at x=2.
Domain is the union of  {{{x<2}}} and {{{x>2}}}.
Root at {{{x=1/5}}} crossing the x-axis.

Horizontal asymptote of  {{{y=-5}}}.
You can check on range, looking near the critical x values of 1/5 and 2.


Graph the inverse?
Try setting to {{{(5y-1)/(-y+2)=x}}} and see what you find.  Is this actually a function, or not?
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{{{5y-1=x(2-y)}}}
{{{5y-1=2x-xy}}}
{{{5y+xy-1=2x}}}
{{{5y+xy=2x+1}}}
{{{y(5+x)=2x+1}}}
{{{highlight_green(y=(2x+1)/(x+5))}}}
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{{{graph(400,400,-11,6,-9,8,(2x+1)/(x+5))}}}