2 Let H be the Heaviside function defined by H(x)=\left\{\begin{array}{ll} 1 & \text { if } x \geq 0 \\ 0 & \text { if } x<0 \end{array}\right. We define a new function f(x)=\frac{H\left(1-x^{2}\right)}{H(2 x)} whose continuity we will now investigate. You may assume the continuity properties of standard functions. What is the domain of f? Justify your answer. 2. Within the domain, what are the point(s) of discontinuity of f. if any, and are they removable? Justify your answer.(15 marks)

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