Question 92223
Find the horizontal and vertical asymptotes of the following. Type none if the function does not have an asymptote.
a. 
f(x) = 2x + 3/x + 3 
Vertical asymptote where denominator = 0 ; x+3=0 when x=-3
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Horizontal asymptote where y=2/1 = 2
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{{{graph(400,300,-10,10,-10,10,(2x+3)/(x+3))}}}
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b.
g(x)= 5x/x^2+1
Vertical asymptote ? None because x^2+1 is always positive.
Horizontal asymptote where y= 0x^2/1x^2 = 0/1 = 0
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{{{graph(400,300,-10,10,-10,10,5x/(x^2+1))}}}
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Cheers,
Stan H.