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JEE MATHEMATICS MCQ: FUNCTIONS

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Understanding +4 | -1
Let AA and BB be non empty sets in RR and f:A→Bf: A \rightarrow B is a bijective function.

Statement 1 : f\mathrm{f} is an onto function.

Statement 2: There exists a function g:B→Ag: B \rightarrow A such that fog =IB=I_{B}.
View answer and explanation
Correct option: D
Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for Statement 1 .
Option D is correct. Statement 1 is true because a bijective function is onto. Statement 2 is also true because a bijective function has an inverse, but Statement 2 doesn't explain Statement 1.

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