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The domain of the function f(x)= ⁻¹(3-x) (|x|-2) is :

Options

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

Correct answer

B. (3,4]

Step-by-step solution

Given that, f(x)= ⁻¹(3-x) (|x|-2) From numerator of the function, we have aligned & ⁻¹(3-x), here -1 3-x 1 & -4 -x -2 aligned 2 x 4 ...(i) From denominator of the function, we have |x|-2 1 or |x| 3 x -3 x 3 ...(ii) From both cases, we get the domain of the given function. i.e. 3 x 4 or x (3,4] .

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