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If R(3)={(x,|x|),|x is a real number } i...

If `R_(3)={(x,|x|),|x` is a real number } is a releation, then find domain and range of `R_(3)`

Text Solution

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We have, `R_(3)={(x,|x|)x` is real number}
Clearly, domain of `R_(3)=R`
Since, image of any real number `R_(3)` is positive real number of zero,
`:.` Range of `R_(3)=R^(+)uu{0}or (0,oo)`
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