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Range of the function f(x) = sqrt(cos^(-...

Range of the function `f(x) = sqrt(cos^(-1)(sqrtlog_(4)x)-pi/2)+sin^(-1)((1+x^2)/(4x))` is a`(0,pi/2+sqrt(pi/2)]` b)`[pi/2,pi/2+sqrt(pi/2)]` c)`[pi/6,pi/2]` d)`{pi/6}`

A

`(0,pi/2+sqrt(pi/2)]`

B

`[pi/2,pi/2+sqrt(pi/2)]`

C

`[pi/6,pi/2]`

D

`{pi/6}`

Text Solution

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The correct Answer is:
D
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