If f(x) = 2 ^ -1 x + ^ -1 ( 2x 1+x^2 ), x > 1, then f(5) is equal to

JEE Main 2015 Mathematics question

If , , then is equal to

Answer: (3)

The identity holds only for , because the range of is while exceeds once . For the correct identity is

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Question ID VK-115303