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The domain of the function f(x)= 1 |x|-x is

Options

  1. A[0, )
  2. B(- , 0)
  3. C[1, )
  4. D(- , 0]

Correct answer

B. (- , 0)

Step-by-step solution

aligned & f(x)= 1 |x|-x & |x|-x 0 aligned So x 0 ....(1) x =(- , 0) again |x|-x 0| x | x it is possible only when x is negative. x=(- , 0) ....(2) So from eq. (1) & eq. (2) domain x =(- , 0)

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