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| Question 73946:  WHAT IS THE DOMAIN OF THIS FUNCTION AND THE VERTICAL ASYMPTOTES
 x^2-2x/3x^3-3x^2-6x  this is what i got in lowest terms x/3x(x+1) is this right?
 so will the vertical asymptotes be x=0 and x=-1?
 please help me thank you:)
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! WHAT IS THE DOMAIN OF THIS FUNCTION AND THE VERTICAL ASYMPTOTES x^2-2x/3x^3-3x^2-6x  this is what i got in lowest terms x/3x(x+1) is this right?
 so will the vertical asymptotes be x=0 and x=-1?
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 Factor where you can to get:
 x(x-2)/[3x(x-2)(x+1)]
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 Yes, the function has a "hole" at x=2 and vertical asymptotes at x=0 and x=-1.
 The domain is all real numbers except x= -1, 0, 2
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 Cheers,
 Stan H.
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