Question 1027340
NOT a hole at x=-1.  That is a vertical asymptote.  NOW try again.



Trying to build what you want:
Hole at {{{x=-1}}}.
{{{y=something(x+1)/(x+1)}}}


No vertical asymptote.
Consistant again with {{{y=something(x+1)/(x+1)}}};


Horizontal asymtptote {{{y=-2}}}.
Degree of numerator and denominator must be equal.
End behavior would approach {{{y=-2}}}.
{{{(x+1)/(x+1)}}} will be 1, but remains undefined at {{{x=-1}}}.


{{{highlight(y=-2(x+1)/(x+1))}}}
This is rational and also a line, but will have the needed hole at x=-1.  Broken line at one particular point.