Let f : (0, ∞) → R be given by Then
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f : (0, ∞) → R be given by
Then
Then- f (x) is monotonically increasing on [1, ∞)
- f (x) is monotonically decreasing on (0, 1)
for all x ∈ (0, ∞)- f (2x) is an odd function of x on R
Answer
(D) f (2 x ) is an odd function of x on R
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