Math Question #3. ICTM R 96 AA. Math Team.?

Question

Find the equation(s) of all lines which are asymptotes of y = ((3x^2) + 6x + 12)/ x - 2. Give your answer(s) in either the form y = mx + b or x = c, where m,b,c are real.

Answer 1

y = ((3x^2) + 6x + 12)/ (x - 2)

Let x get really big then the equation ~ Y=3x+6

Let x get close to 2, y blows up then the equation x=2