Write the domain of the real function...

Write the domain of the real function `f(x)=1/(sqrt(|x|-x))`

Text Solution

Verified by Experts

The function `f(x)=frac{1}{sqrt{|x|-x}}` is defined only when `|x|-x>0` `|x|>x`

`frac{{x}}{|{x}|}<1`

This is possible only when `x in(-infty, 0)`

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Knowledge Check

What is the domain of the function f(x)= (1)/sqrt(|x|-x)

A

`(-infty,0)`

B

`(0,infty)`

C

`0 lt x lt 1`

D

`x gt 1`

What is the domain of the function f(x)=(1)/(sqrt(|x|-x)) ?

A

`(-oo,0)`

B

`(0,oo)`

C

`0ltxlt1`

D

`xgt1`

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

A

`[0,infty]`

B

`(-infty,0)`

C

`[1,infty)`

D

`(-infty,0]`

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