Let \( f(\mathrm{x})=\left\{\begin{array}{ccc}\mathrm{x} & ; & \mat...
Let \( f(\mathrm{x})=\left\{\begin{array}{ccc}\mathrm{x} & ; & \mathrm{x}0 \\ 1-\mathrm{x} & ; & \mathrm{x} \geq 0\end{array}\right. \) \& \( \mathrm{g}(\mathrm{x})=\left\{\begin{array}{ccc}\mathrm{x}^{2} & ; & \mathrm{x}-1 \\ 2 \mathrm{x}+3 & ; & -1 \leq \mathrm{x} \leq 1 \\ \mathrm{x} & ; & \mathrm{x}1\end{array}\right. \)
P
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On the basis of above information, answer the following question : Range of \( f(\mathrm{x}) \) is -
(A) \( (-\infty, 1] \)
(B) \( (-\infty, \infty) \)
(C) \( (-\infty, 0] \)
(D) \( (-\infty, 2] \)
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