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Question

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

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

A

R+R^{+}

B

RR^{-}

C

R0R_{0}

D

RR

Answer

RR^{-}

Explanation

Solution

For domain, xx>0x>x|x| - x > 0 \Rightarrow |x| > x.

This is possible, only when xR.x \in R^{-}.