The function f(x) = (4 - x^2)/(4x - x^3) is ______.

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The function f(x) = (4 - x^2)/(4x - x^3) is discontinuous at exactly three points. Explanation: Given that: f(x) = (4 - x^2)/(4x - x^3) For discontinuous function 4x – x3 = 0 $\Rightarrow$ x(4 – x2) = 0 $\Rightarrow$ x(2 – x)(2 + x) = 0 $\Rightarrow$ x = 0, x = – 2, x = 2 Hence, the given function is discontinuous exactly at three points.

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