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JEE Main 2017 Mathematics question

MathematicsFunctionJEE Main 2017

Let and . If , then is equal to:

Answer: (2)

Solution

Compose the two functions:

(f° g)(x) = f(g(x)) = - 1) + 1 = - + 1.

Setting this equal to ,

- 1) = - 1 x = .

None of the options is written in this form, so convert. Divide

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Question ID VK-115842