Answer
common factor $(x-3)$
x-intercept=$-6$, y-intercept=$-1.2$
vertical asymptote $x=5$, horizontal asymptote $y=1$
Domain {$x|x\ne3,5$}, Range {$y|y\ne1,-4.5$}
Work Step by Step
$r(x)=\frac{(x+6)(x-3)}{(x-5)(x-3)}$
common factor $(x-3)$
x-intercept=$-6$, y-intercept=$-1.2$
vertical asymptote $x=5$, horizontal asymptote $y=1$
Domain {$x|x\ne3,5$}, Range {$y|y\ne1,-4.5$}