Find the vertical asymptotes, if any, of the graph of the rational function.

g(x) = x/x^2-16

Vertical asymptotes exist when the denominator is equal to zero

x^2 - 16 = 0

x^2 = 16

sqrt(x^2) = +/- sqrt(16)

x = -4 and x = 4

The function has vertical asymptotes at x = -4 and x = 4.

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