Question

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

(a) (- ∞, ∞) 

(b) (0, ∞) 

(c) (- ∞, 0) 

(d) (- ∞, ∞) - {0}

Answer 1

The correct option (c) (- ∞, 0) 

Explanation:

For D_f, |x| – x > 0 ⇒ |x| > x i.e. x < |x| 

Which is true if x < 0 D_f = (–∞, 0)