Question 184918
Find the equations for the horizontal and vertical asymptotes of the following. The answers are the equations of lines, so writing simple values will not suffice. 

f(x)=(2x-1)/(x^2+2)
Horizontal: y=0 because the coefficient of x^2 is 0 in the numerator and 1
in the denominator; so y = 0/1 = 0
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Vertical: nor vertical asymptotes because x^2+2 can never be 0.
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g(x)=5x/(x-1)
Horizontal: y = 5 because the coefficient of x is 5 in the numerator and 
1 in the denominator; so y = 5/1 = 5
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Vertical: x = 1 because the denominator is zero when x = 1
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Cheers,
Stan H.