JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f: \mathbb{R} \rightarrow \mathbb{R}

be a function satisfying the relation

f(x+1)=\frac{1}{2}+\sqrt{f(x)-(f(x))^2}

for all

x \in \mathbb{R}

. Then period of

f(x)

View answer and explanation

Correct option: A

Option A (2) is correct because after two iterations of the function, f(x+2) simplifies back to f(x), indicating a period of 2.

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