X and Y are two sets and f : X → Y . If f ( c ) = y ; c ⊂ X, y ⊂ Y , then the true…

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

1. f ^–1 (f (a)) = a
2. f (f ^–1 (b)) = b, b ⊂ Y
3. f ^–1 (f (a)) = a, a ⊂ X
4. f (f ^–1 (b)) = b
   

Answer

(D) f ( f –1 ( b )) = b

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