Let f : R → R is a function satisfying f (2 – x) = f (2 + x) and f (20 – x) = f (x), x ∈…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f : R → R is a function satisfying f (2 – x) = f (2 + x) and f (20 – x) = f (x), \(\forall\) x ∈ R. For this function f answer the following.
If f (2) ≠ f (6), then
- fundamental period of f (x) is 1
- fundamental period of f (x) may be 1
- period of f (x) can’t be 1
- fundamental period of f (x) is 8
Answer
(C) period of f (x) can’t be 1
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