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

Algebra ->  Functions -> 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      Log On


   

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) About Me  (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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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C5x%2F%28x%5E2%2B1%29%29
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Cheers,
Stan H.