Let f be a function satisfying 2 f (xy) = ( f (x)) y + ( f (y)) x and f (1) = k ≠ 1, then…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f be a function satisfying
2 f (xy) = ( f (x))y + ( f (y))x
and f (1) = k ≠ 1, then \(\sum_{\mathrm{r}=1}^{\mathrm{n}} f(\mathrm{r})\) is equal to :
2 f (xy) = ( f (x))y + ( f (y))x
and f (1) = k ≠ 1, then \(\sum_{\mathrm{r}=1}^{\mathrm{n}} f(\mathrm{r})\) is equal to :
- kn –1
- kn
- kn +1
- None of these
Answer
(D) None of these
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