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Find the vertical asymptotes, if any, of the graph of the given rational function. h(x)=4x/(x(x-45))
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\[h(x)=\frac{4x}{x(x-45)}\]vertical asymptotes occur when a value of x leads to h(x) being plus or minus infinity. In this case it will happen when the denominator of the fraction is zero, which occurs at x= 0 and x = 45.
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