Answer
Numerator: $(x+5)(x-2)$, Denominator: $(x+5)(x+1)(x-3)$
Common factor $(x+5)$, "hole" at $x=-5$
X-intercept: $y=0, x=2$
Y-intercept: $x=0,y=2/3$
Asymptotes: vertical $x=-1,x=3$, horizontal $y=0$
Domain {$x|x\ne-5,-1,3$}
Range: $(-\infty,\infty)$
Work Step by Step
see above.