SOLUTION: find the equations of both the vertical and horizontal asymptotes of the function g(x)x=7/x^2-4

Question 481330: find the equations of both the vertical and horizontal asymptotes of the function g(x)x=7/x^2-4
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the equations of both the vertical and horizontal asymptotes of the function
g(x)=7/x^2-4
**
g(x)=7/x^2-4
To find vertical asymptotes, set denominator=0, then solve for x
7/(x+2)(x-20=0
vertical asymptotes:
x=-2
and
x=2
For horizontal asymptotes, the rule is that if the degree of the denominator is greater than the degree of the numerator, the x-axis or y=0 is the horizontal asymptotes. In this case the degree of the denominator is zero and that of the denominator is 2
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