Relations Functions

The domain of the function f(x) = 1/√(|x| - x) is

  1. (0,∞)
  2. (-∞,0)
  3. (-∞,∞)
  4. (-∞,∞) - {0}

Solution

f(x) = 1/√(|x| - x)

|x| - x > 0

|x| > x

⇒ x < 0

The correct option is B.