SOLUTION: 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 b. g(x)= 5x/x^2+1 can someone exp

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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
b.
g(x)= 5x/x^2+1
can someone explain this to me.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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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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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Cheers,
Stan H.

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