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NDA 2025 · PYQ · Domain of functions · easy

Let the curve f(x) = |x − 3|. What is the domain of the function f(x)?

  1. A.(0, ∞)
  2. B.(3, ∞)
  3. C.(−∞, ∞)✓ Correct
  4. D.(−∞, ∞) − {3}

Explanation

f(x) = |x − 3| is defined for all real numbers since the absolute value of any real number is well-defined. Hence the domain is (−∞, ∞).
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