SOLUTION: Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation. f(x)= X+2/x^2+x-6
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Question 560332: Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation. f(x)= X+2/x^2+x-6 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation. f(x)= X+2/x^2+x-6
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Factor:
f(x) = (x+2)/[(x+3)(x-2)]
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Vertical asymptotes where the denominator is zero: x = -3 and x = 2
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Horizontal asymptote where f(x) = (0*x^2)/(1/x^2) = 0/1 = 0
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Cheers,
Stan H.
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