Question

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

पर्याय

• R

• R⁺ 

• R^– 

• None of these

Answer 1

none of these

Explanation:

Given that f(x) = `1/sqrt(x - |x|)`

Where `x - |x| = {{:(x - x = 0, "if"  x ≥ 0),(2x,  "if"  x < 0):}`

Thus `1/sqrt(x - |x|)` is not defined for any x ∈ R.

Hence f is not defined for any x ∈ R.