Consider $$f(x) = \frac{x^3 - 31 x+ 30 }{x^3 - 23 x^2+ 171 x - 405 }$$
Give the domain of the function $f(x)$, in interval notation:

Give the root(s) of $f(x)$ as a comma-separated list:

Give the points where $f(x)$ has hole(s) as a comma-separated list of points (like "(1,2),(5,6),(-1,12)"):

Give the $x$ values where $f(x)$ has vertical asymptotes as a comma-separted list:

$f(x)$ has a horizontal asymptote at $y=$