Let f be a real valued function with domain R satisfying f (x + k) = 1 + [2 – 5 f (x) +…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f be a real valued function with domain R satisfying
f (x + k) = 1 + [2 – 5 f (x) + 10 (f (x))2 – 10 ( f (x))3
+ 5 (f (x))4 – (f (x))5]1/5
for all real x and some positive constant k, then the period of the function f (x) is :
f (x + k) = 1 + [2 – 5 f (x) + 10 (f (x))2 – 10 ( f (x))3
+ 5 (f (x))4 – (f (x))5]1/5
for all real x and some positive constant k, then the period of the function f (x) is :
- k
- 2k
- non periodic
- none of these
Answer
(B) 2k
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