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The domain of definition of the function f(x)= 1 |[||x|-1] -5 is)

Options

  1. A(- ,-7] [7, )
  2. B(- , )
  3. C(7, )
  4. D(-7, )

Correct answer

A. (- ,-7] [7, )

Step-by-step solution

Domain of f is defined, if |[x -1]|-5 0 |||x|-1|| 5 either [|x|-1] -5 or [|x|-1] 5 Case I [|x|-1] -5 |x|-1 -5 |x| -4 , which is not possible. Case II [|x|-1] 5 |x|-1 6 |x| 7 x (- ,-7] [7, )

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