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Find all possible values of expression `sqrt(1-sqrt(x^(2)-6x+9)).`

Text Solution

Verified by Experts

The correct Answer is:
`[0,1]`
`sqrt(1-sqrt(x^(2)-6x+9))`
`=sqrt(1-sqrt((x-3)^(2)))`
`implies sqrt(1-|x-3|)in [0,1]`
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