Which statement is true about the discontinuities of the function f of x ? f of x is equal to the fraction with numerator x squared minus 4 and denominator x cubed minus x squared minus 2 x

Factor the numerator and denominator: f(x) = (x − 2)(x + 2) / [x(x − 2)(x + 1)]. The shared factor x − 2 cancels, so x = 2 is a hole; its y-coordinate is (2 + 2) / [2(2 + 1)] = 2/3. The remaining denominator is zero at x = 0 and x = −1, so those are vertical asymptotes. Thus the true statement is that there are asymptotes at x = 0 and x = −1 and a hole at (2, 2/3).

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