How Do You Calculate Horizontal and Vertical Asymptotes?

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asymptotes horizontal and vertical

f(x)= 2x+3/x+2


f(x)=5x/x^2+1
 
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What values of x makes denominator zero? Do you have to ignore anything?
 
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In order to DO them right, first WRITE them right!

What you wrote is f(x)= 2x+(3/x)+ 2 and f(x)=(x/x^2)+ 1 but what you really MEANT was f(x)= (2x+ 3)/(x+ 2) and f(x)= x/(x^2+ 1).

How to do them? Start by looking up the definitions of horizotal asymptote and vertical asymptote.
 
do you mean f(x) = 2x + (3/x) + 2 and f(x) = (5x/x^2) + 1

or

do you mean f(x) = (2x + 3)/(x + 2) and f(x) = 5x/(x^2 + 1)

Please clarify...
 

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