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$Let f : [- 2, 2] \to R be defined by f (x) = \{\begin{array}{cc} - 1, & - 2 \leq x < 0 \\ x - 1, & 0 \leq x \leq 2 \end{array} . Then sum of the roots of the equation f (| x |) = x is$

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detailed solution

Correct option is C

|x|∈[0,2]∴ f(|x|)=|x|−1=x⇒ x=−12

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Let f:[−2,2]→R be defined by f(x)=−1,−2≤x<0x−1,0≤x≤2. Then sum of the roots of the equation f(|x|)=x is

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Ready to Test Your Skills?

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$Let f : [- 2, 2] \to R be defined by f (x) = \{\begin{array}{cc} - 1, & - 2 \leq x < 0 \\ x - 1, & 0 \leq x \leq 2 \end{array} . Then sum of the roots of the equation f (| x |) = x is$