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Question: Answered & Verified by Expert
If $f: A \rightarrow B, g: B \rightarrow C$ are functions such that $g \circ f: A \rightarrow C$ is onto, then a necessary condition is
MathematicsFunctionsAP EAMCETAP EAMCET 2019 (20 Apr Shift 2)
Options:
  • A f is onto
  • B g is onto
  • C both f, g are onto
  • D neither f nor g is onto
Solution:
2608 Upvotes Verified Answer
The correct answer is: g is onto
If functions $f: A \rightarrow B$ and $g: B \rightarrow C$, such that gof : $A \rightarrow C$ is onto, then it is necessary that ' $g$ ' is onto. Hence, option (b) is correct.

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