Verified Solution • 2025–26 Session moderate

QJEEM11Ma88d9: JEE Main 2011 Mathematics - Class 11 JEEM11Ma88d9 Solution: The domain of the function f(x) = 1

The domain of the function f(x) = 1|x|−x is

Multiple Choice Options

  • A (0,∞)
  • B (−∞,0)
  • C (−∞,∞)−{0}
  • D (−∞,∞)

Step-by-Step Verified Solution

f(x)=1|x|−x, define if |x|−x>0

⇒|x|>x,⇒x<0

Hence domain of f(x) is (−∞,0)

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