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The range of $f (x) = \sqrt{\cos^{- 1} (\log_{4} x) - \frac{π}{2}} + \sin^{- 1} (\frac{1 + x^{2}}{2 x})$ is equal to

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0,π2+π2

π2,π2+π2

π6,π2

π2

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detailed solution

Correct option is D

The domain of f(x) is {1}.∴ Range (f)={f(1)}=π2.

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The range of f(x)=cos−1⁡log4⁡x−π2+sin−1⁡1+x22x is equal to

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The range of $f (x) = \sqrt{\cos^{- 1} (\log_{4} x) - \frac{π}{2}} + \sin^{- 1} (\frac{1 + x^{2}}{2 x})$ is equal to