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Range of the function `f(x)=sqrt(cos^(- 1)(sqrt(log_4x))-pi/2)+sin^(- 1)((1+x^2)/(4x))` is equal to (A) `(0,pi/2+sqrt(pi/2)]` (B) `[pi/2,pi/2+sqrt(pi/2)]` (C) `[pi/6,pi/4)` (D) `{pi/6}`

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