The domain of the function $f(x)=\frac{1}{\sqrt{|x|-x}}$.
Answer & explanation
Correct answer: option 1
$f(x)=\frac{1}{\sqrt{|x|-x}}$
For $x≥0,|x|-x=0$
⇒ f (x) is not defined for x ∈ [0, ∞]
$⇒ D_f=(-∞, 0)$
The domain of the function $f(x)=\frac{1}{\sqrt{|x|-x}}$.
Correct answer: option 1
$f(x)=\frac{1}{\sqrt{|x|-x}}$
For $x≥0,|x|-x=0$
⇒ f (x) is not defined for x ∈ [0, ∞]
$⇒ D_f=(-∞, 0)$