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Find the domain of the function f(x)=sin...

Find the domain of the function `f(x)=sin^(-1)sqrt(x-1)`

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Verified by Experts

Square root to be defined:
`x−1 ge 0 implies x ge 1` ` \ …(1)`

Inverse sine to be defined,
`−1 ge sqrt(x−1) ge 1`

As square is always non-negative:
`0 ge sqrt(x−1) ge 1`
`implies 0 ge x−1 ge 1`
...
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