Let
f(x)={(\sqrt(x^(6)-3x^(3)+2)-\sqrt(x^(6)-x^(3)+3),x<=0),((\sqrt(x^(6)+3x^(4)+2))/(x^(2)+2x),x>0):}
(a) Find the vertical asymptote(s), if any, for
y=f(x)
. Justify your answer. (b) Find the horizontal asymptote(s), if it exists, for
y=f(x)
. Justify your answer.