NTA Abhyas JEE Main2020MathematicsFunctionsPractice

If f x is a real valued function such that f x + 6 - f x + 3 + f x = 0, ∀ x ∈ R , then period of f x is

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Correct answer

C. 18

Step-by-step solution

In given equation, putting x → x + 3 f x + 9 - f x + 6 + f x + 3 = 0 On adding both equations, we get, f x + 9 + f x = 0 …(i) now, putting x → x + 9 f x + 18 + f x + 9 = 0 …(ii) Equation (ii) – Equation (i) f x + 18 = f x ∴Period = 18

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