# What are the asymptote(s) and hole(s), if any, of # f(x) =1/((x-3)(x^3-x^2-x+1))#?

asymptotes:

holes:

none

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The function f(x) = 1/((x-3)(x^3-x^2-x+1)) has a vertical asymptote at x = 3 and no horizontal asymptotes. There are no holes in the graph of this function.

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