Finding the identity function definition and properties

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dana1
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hey,
question is attached

thanks in advance!
 
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  • Text: g: A → B, f: B → A, if f∘g = id_A. Below it: Can I say that f∘g is bijective?
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Discussion

dana said:
hey,
question is attached

thanks in advance!

Hi dana!

Well... since $id_A: A\to A$ is a bijection, it seems fair to me that $f \circ g: A \to A$ given by $f \circ g: a \mapsto a$ is also a bijection...
 

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