SOLUTION: find the vertical asymtote, horizontal asymtote, and graph the equation f(x)=(3x-3)/ (x^2+3x)

Algebra ->  Rational-functions -> SOLUTION: find the vertical asymtote, horizontal asymtote, and graph the equation f(x)=(3x-3)/ (x^2+3x)       Log On


   



Question 410803: find the vertical asymtote, horizontal asymtote, and graph the equation
f(x)=(3x-3)/ (x^2+3x)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the vertical asymtote, horizontal asymtote, and graph the equation
f(x)=(3x-3)/ (x^2+3x)
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Factor:
f(x) = [3(x-1)]/[x(x+3)]
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vertical asymptotes at x = 0 and at x = -3
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Horizontal asymptote at y = 0x^2/x^2 = 0
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Graph:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%283x-3%29%2F%28x%5E2%2B3x%29%29
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Cheers,
Stan H.
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