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For f to be a function, what is the doma...

For f to be a function, what is the domain of f, if `f(x)=(1)/(sqrt(|x|-x))`?

A

`(-oo,0)`

B

`(0,oo)`

C

`(-oo,oo)`

D

`(-oo,0]`

Text Solution

Verified by Experts

The correct Answer is:
A
`f(x)=(1)/(sqrt(|x|-x))`
`|x|-xgt0`
since the denominator cannot be zero.
`:.|x|gtx`
for `xgt0,xgtx` is not possible.
for `xlt0,|x|gtx`
`implies2xlt0`
`impliesxlt0`.
`:.` Domain is `(-oo,0)`
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