If f(x)= array ll |x|, & x 1 2-x, & x>1 array . , then f ( f (x)) is equal to

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

1. \[\left\{\begin{array}{lc} 2-|x|, & x<-1 \\ |x|, & -1 \leq x \leq 1 \\ |2-x|, & x>1 \end{array}\right.\]
2. \[\left\{\begin{array}{lc} |x|, & x<-1 \\ 2-|x|, & -1 \leq x \leq 1 \\ |2-x|, & x>1 \end{array}\right.\]
3. \[\left\{\begin{array}{lc} |2-x|, & x<-1 \\ |x|, & -1 \leq x \leq 1 \\ 2-|x|, & x>1 \end{array}\right.\]
4. none of these

Answer

(A) array lc 2-|x|, & x 1 array .

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