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Range of f(x)=sin^(-1)[x-1]+2cos^(-1)[x-...

Range of `f(x)=sin^(-1)[x-1]+2cos^(-1)[x-2]` ([.] denotes greatest integer function)

A

`{-(pi)/(2), 0}`

B

`{(pi)/(2), 2pi}`

C

`{(pi)/(4), (pi)/(2)}`

D

`{(3pi)/(2), 2pi}`

Text Solution

Verified by Experts

The correct Answer is:
D
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