Example 20 Consider functions f and g such that composite gof is defined and is one-one. Are f and g both necessarily one-one. Here, we take examples and function f, g And draw their set using arrow diagram Here, f is one-one But g is not one And finding gof using arrow diagram, we see that gof is one-one But g & f are not necessarily one-one

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.

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