Let f : R R be a function such that f(x) = ax + 3 x + 4 x. Then f(x) is invertible if

JEE Advanced Mathematics question

Let be a function such that . Then is invertible if

Answer: (B),(C)

, where , . Hence

a - 5 f'(x) a + 5,

and both bounds are attained.

- If : for all → strictly increasing. Also as (since \sin\cos$

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Question ID VK-109438