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Home  >>  AIMS  >>  Class11  >>  Math  >>  Relations and Functions

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

1 Answer

\[f(g)(x) = \left\{ \begin{array}{l l} \large\frac{1}{x}x \: if \: x > 0 \\ -\large\frac{1}{x}\: if \: x^2 < 0 \end{array} \right.\]
Hence (B) is the correct answer.
answered Jun 28, 2014 by thanvigandhi_1
 

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