1.

Suppose \[f:[2,\ 2]\to R\] is defined by\[f(x)=\left\{ \begin{align} & -1\,\,\,\,\,\,\,\,\,\,\,\,\,\text{for}\ -2\le x\le 0 \\  & x-1\ \ \ \ \ \text{for}\ 0\le x\le 2 \\ \end{align} \right.\], then \[\{x\in (-2,\ 2):x\le 0\] and \[f(|x|)=x\}=\] [EAMCET 2003]

A. \[\{-1\}\]
B. {0}
C. \[\{-1/2\}\]
D. \[\varphi \]
Answer» D. \[\varphi \]


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