SOLUTION: give the equations of any vertical and horizontal asymptotes of the rational functions f(x)= (8x+9)/(x^2-4)

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Question 927749: give the equations of any vertical and horizontal asymptotes of the rational functions f(x)= (8x+9)/(x^2-4)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=+%288x%2B9%29%2F%28x%5E2-4%29
you can use the domain , because whichever values are not allowed in the domain will be vertical asymptotes on the graph
%28x%5E2-4%29=0=> for x=-2 and x=2=>vertical asymptotes
domain:
{ x element R : x%3C%3E-2 and x%3C%3E2 }

the horizontal asymptote is found by dividing the leading terms, so the asymptote is given by:
y+= (numerator's leading coefficient)/(denominator's leading coefficient)
y+=%280%2Ax%5E2%2B8x%2B9%29%2F%28x%5E2-4%29=0%2F1=0

the horizontal asymptote is y+=0