Question

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

(a) (–∞, 0) 

(b) (–∞, ∞) – {0} 

(c) (–∞, ∞) 

(d) (0, ∞)

Answer 1

Correct option (a) (–∞, 0)

Explanation:

The function f is defined for |x| – x > 0

⇒ |x| > x

⇒ x ∞ (–∞, 0)

Thus, D_f = (–∞, 0)