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Question 410006
JEE Mathematics · Medium

Sets, Relations and Functions: Domain and range MCQ

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Domain and rangeMediumQuestion 410006

Question

The domain of f(x) = √(x − 2) is:
  1. A
    [2, ∞)
    Correct
  2. B
    (2, ∞)
  3. C
    (−∞, 2]
  4. D
    (−∞, 2)

Correct answer

[2, ∞)

Explanation

For √(x−2) to be real: x − 2 ≥ 0 → x ≥ 2. Domain = [2, ∞). At x = 2, f(2) = 0 (included).

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