Give the equation of the horizontal asymptote, if any, of the function f(x) = (x+3)/(x^2 -25)
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This function has asymptotes at x=+/-5, because these values produce zero in the denominator. These, however, are  vertical asymptotes, lines parallel to the vertical axis f(x). f(x)=(x+3)/((x-5)(x+5)). As x approaches infinity the function approaches 1/x which approaches zero. So the horizontal x axis is also an asymptote.

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