JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

f(x)

is defined on

[0,1]

by the rule

f(x)=\left\{\begin{array}{cc}x, & \text { if } x \in Q \\ 1-x, & \text { if } x \notin Q\end{array}\right.

, then for

x \in[0,1]

View answer and explanation

Correct option: B

(f \circ f)(x)=x

Option B (

(f \circ f)(x)=x

) is correct because applying the function composition twice results in the original input x, regardless of whether x is rational or irrational.

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