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 Example 20 - If gof is one-one. Are f and g both one-one  - Composite funcions and one-one onto


Transcript

Question 4 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.