$$f(x) = \frac{-6 x^4+ 12 x^3+ 9 x^2 - 5 x - 2 }{x^4 - 2 x^3+ x^2+ 4 x+ 2 }$$
What is the equation of the horizontal asympotote? y=.

Does the graph of $f(x)$ intersect its horizontal asymptote? (yes or no) .

At what x-values does $f(x)$ intersect its horizontal asymptote? Give your answers in increasing order. If $f(x)$ does not intersect its horizontal asymptote, leave this question blank. ,