AP EAMCET · Maths · Functions
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
- A f is onto
- B g is onto
- C both f, g are onto
- D neither f nor g is onto
Answer & Solution
Correct Answer
(B) g is onto
Step-by-step Solution
Detailed explanation
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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