SOLUTION: 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)

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:
Vertical:

g(x)=5x/(x-1)
Horizontal:
Vertical:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
----
Vertical: nor vertical asymptotes because x^2+2 can never be 0.
-------------------------------------------------------------------------------
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
-----
Vertical: x = 1 because the denominator is zero when x = 1
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Cheers,
Stan H.

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