If f(x)= a^ x -a^ -x a^ x +a^ -x where a, x satisfy the necessary conditions, then f^ -1 (x)=

MHT CET 2022 Mathematics question

If where satisfy the necessary conditions, then

Answer: (A)

Put . Multiply numerator and denominator by : . Cross-multiplying, , so and . Taking : , so

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Question ID VK-093858