Let f : (0, 1) → R be defined by where b is a constant such that 0 b < 1. Then
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f : (0, 1) → R be defined by 
where b is a constant such that 0 < b < 1. Then
where b is a constant such that 0 < b < 1. Then- f is not invertible on (0, 1)
- f
- f = f–1 on (0, 1) and
- f–1 is differentiable on (0, 1)
Answer
(C) f = f –1 on (0, 1) and
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