If f(g(x)) = | cos x |, g(f(x)) = cos 2 x , then -

Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions

1. f(x) is a periodic function and g(x) is a non-periodic function.
2. f(x) is a non-periodic function and g(x) is a periodic function.
3. Both f(x) and g(x) are periodic functions
4. Neither f(x) nor g(x) is a periodic function

Answer

(B) f(x) is a non-periodic function and g(x) is a periodic function.

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