If f:[1, ) [2, ) is given by f(x)=x+ 1 x then f^ -1 (x) equals

MHT CET 2024 Mathematics question

If is given by then equals

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

Let , so and . The domain of is , so we need the root that is , which is the one with the plus sign (the minus root is since the two roots multiply to 1). Hence

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Question ID VK-096710