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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1
Assertion(A): A function ff satisfies the condition
f(x+T)=1+{1−3f(x)+3(f(x))2−(f(x))3}13f(x+T)=1+\left\{1-3 f(x)+3(f(x))^2-(f(x))^3\right\}^{\frac{1}{3}} (where T{T} is a fixed positive number) is periodic with period 2T2 {T}.
Reason(R): If f(x+2T)=f(x)f(x+2 T)=f(x), then period of f(x)f(x) is 2T2{T}.
View answer and explanation
Correct option: A
Both (A) & (R) are individually true & (R) is correct explanation of (A).
The correct answer is A because both the assertion and the reason are true, and the reason correctly explains the assertion. The function satisfies f(x+2T)=f(x)f(x+2T) = f(x), indicating a period of 2T2T.

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