Question

The domain of the function f(x) = `1/sqrt(|x| - x)` is ______.

विकल्प

• (0, ∞)

• (–∞, 0)

• (–∞, ∞) – {0}

• (–∞, ∞)

Answer 1

The domain of the function f(x) = `1/sqrt(|x| - x)` is (–∞, 0).

Explanation:

`1/sqrt(|x| - x)`

⇒ |x| – x > 0

⇒ |x| > x

⇒ x < 0

⇒ x is negative

Therefore, x ∈ (–∞, 0)