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The domain of the function f(x)=1/(sqrt(...

The domain of the function `f(x)=1/(sqrt(|x|-x))` is: (1) `(-oo,oo)` (2) `(0,oo` (3) `(-oo,""0)` (4) `(-oo,oo)"-"{0}`

A

`(-oo,oo) ~{0}`

B

`(-oo,oo)`

C

`(0,oo)`

D

(-oo,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
The given function `f` is well defined only when `|x|-x gt 0`
`implies x lt 0`
` :. ` Required domain is `(-oo,0)`
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