Question 177052: For the following two functions: determine if there are any holes, find all intercepts, find the equation of all asymptotes
a) g(x)=(4x+8)/(x^3-4x)
b) g(x)=(x^3-2x^2-8x)/(x^2+3x)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For the following two functions: determine if there are any holes, find all intercepts, find the equation of all asymptotes
a) g(x)=(4x+8)/(x^3-4x)
Factor to get:
g(x) = [4(x+2)] / [x(x-2)(x+2)]
asymptote: x = 0, x = 2
hole: x= -2
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b) g(x)=(x^3-2x^2-8x)/(x^2+3x)
g(x) = [x(x-4)(x+2)] / [x(x+3)]
asymptote: x = -3
hole: x = 0
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Cheers,
Stan H.
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