Let f ( x ) be defined for all x > 0 and be continuous. If f ( x ) satisfy f ( x y ) = f…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f (x) be defined for all x > 0 and be continuous.
If f (x) satisfy \(f\left(\frac{x}{y}\right)\) = f (x) – f (y) for all x, y and
f (e) = 1, then
If f (x) satisfy \(f\left(\frac{x}{y}\right)\) = f (x) – f (y) for all x, y and
f (e) = 1, then
- f (x) is bounded
- x f (x)
- f (x) = ln x
Answer
(D) f ( x ) = ln x
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