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The domain of the function defined by f(...

The domain of the function defined by `f(x) = sin^(-1)sqrt(x-1)` is

A

`[1,2]`

B

`[-1,1]`

C

`[0,1]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`:' f(x) [= sin^(-1)sqrt(x, -1)`
` rArr 0 le x -1 le 1` , [ `:' sqrt(x-1) ge 0` and `-1 le sqrt(x-1) le 1`]
`rArr 1 le x le 2`
`:. X in [1,2]`
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