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If R(1)={(x,y)|y=2x+7, where x in R and ...

If `R_(1)={(x,y)|y=2x+7,` where `x in R` and `-5 le x le 5}` is a relation. Then find the domain and Range of `R_(1)`.

Text Solution

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We have,
`R_(1)={(x,y)|y=2x+7, ` where `x in R` and `-5 le x le 5}`
Domain of `R_(1)={-5 le x le 5, x in R} -= [-5,5]`
` :' x in [-5,5],2x in [-10,10]`
`implies 2x+7 in [-3,17]`
Thus range is `[-3,17]`.
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