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Question 19 : If x is a real number ,then \\sqrt{log_{e}\frac{4x - x^2}{3}}) is a real number if and only if

  1. -3 ≤ x ≤ 3
  2. 1 ≤ x ≤ 2
  3. 1 ≤ x ≤ 3
  4. -1 ≤ x ≤ 3

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Explanatory Answer

It is given that, is a real number
Therefore, ≥ 0
≥ 1
≥ 3
- 4x + 3 ≤ 0
−1) (x-3) ≤ 0
x [1,3]


The question is "If x is a real number ,then \\sqrt{log_{e}\frac{4x - x^2}{3}}) is a real number if and only if"

Hence, the answer is 1 ≤ x ≤ 3

Choice C is the correct answer.

 

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