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

• 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.