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

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

Text Solution

Verified by Experts

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