JEE Math Practice Question
Let f(x) = x2 , x $$ \in $$ R. For any A $$ \subseteq $$ R, define g (A) = { x $$ \in $$ R : f(x) $$ \in $$ A}. If S = [0,4], then which one of the following statements is not true ?
- A.g(f(S)) $$ \ne $$ S
- B.f(g(S)) = S
- C.f(g(S)) $$ \ne $$ f(S)
- D.g(f(S)) = g(S)
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