SOLUTION: FIND A RATIONAL FUNCTION THAT HAS VERTICAL ASYMPTOTES AT X=-4 AND X=5 AN X-INTERCEPT AT (-2,0)?

Question 448854: FIND A RATIONAL FUNCTION THAT HAS VERTICAL ASYMPTOTES AT X=-4 AND X=5 AN X-INTERCEPT AT (-2,0)?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
FIND A RATIONAL FUNCTION THAT HAS VERTICAL ASYMPTOTES AT X=-4 AND X=5 AN X-INTERCEPT AT (-2,0)?
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Since you have asymptotes at x = -4 and x = 5
there must be a (x+4) and a (x-5) factor in the denominator
y = k/[(x+4)(x-5)]
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If y = 0 when x = -2, there must be a (x+2) factor in the numerator:
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y = (x+2)/[(x+4)(x-5)]
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Cheers,
Stan H.
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