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Find the values of x for which the follw...

Find the values of x for which the follwing function is defined: `f(x)=sqrt((1)/(|x-2|-(x-2))`

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The correct Answer is:
`(-oo,2)`
`|x-2|={(x-2",",x ge2),(2-x",",x lt 2):}`
`implies|x-2|-(x-2)={(0",",x ge2),(4-2x",",x lt 2):}`
Therefore, given expression is defined for `(-oo,2)`
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