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For f to be a function, what is the domain of f , if f(x)= 1 |x|-x ?

Options

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

Correct answer

A. (- , 0)

Step-by-step solution

f(x)= 1 |x|-x | x |- x 0 since the denominator cannot be zero. | x | x for x 0, x x is not possible. aligned & for x 0,| x | x & 2 x 0 x 0 aligned domain is (- , 0)

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