Let f(x) = ^ -1 (x) , where (x) is m.i. for 0 < x < /2. Then f(x) is

JEE Advanced Mathematics question

Let , where is m.i. for . Then is

Answer: (A)

is strictly increasing on , and is increasing on . A composition of two increasing functions is increasing: $ < ⇒ φ <

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Question ID VK-109425