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The domain of the function f(x)=(sin^(-1...

The domain of the function `f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2)))`, is

A

`[2,3]`

B

`[2,3)`

C

`[1,2]`

D

`[1,2)`

Text Solution

Verified by Experts

The correct Answer is:
B
The function f(x) will be defined, if
`-1le(x-3)le1`
`implies" "2lexle4" and "9-x^(2)gt0`
`implies" "-3ltxlt3`
`:." "2lexlt3`
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