The domain of the function \(f(x) = \frac{1}{{\sqrt {|x|

Engineering

Mathematics

domain of function

Question

The domain of the function $f(x) = \frac{1}{{\sqrt {|x| - x} }}$ is :

(– $\infty$ , $\infty$ )

(– $\infty$ , $\infty$ ) – {0}

(0, $\infty$ )

(– $\infty$ , 0)

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$f(x) = \frac{1}{{\sqrt {|x| - x} }}$

| x | – x > 0

| x | > x

⇒ x < 0

$∴$ x $\in$ (– $\infty$ , 0)

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