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# If f: R $\rightarrow$R is the modulus function and g: R−{0} $\rightarrow$ R is defined by g (x) = $\large\frac{1}{x^2}$ , the product of f and g is given by

$f(g)(x) = \left\{ \begin{array}{l l} \large\frac{1}{x}x \: if \: x > 0 \\ -\large\frac{1}{x}\: if \: x^2 < 0 \end{array} \right.$