I have been wondering how many functions satisfy these equations,

f (f (x))=f (x)

f (f (f (x))))=f (x) and so on.

Please help!!

I have been wondering how many functions satisfy these equations,

f (f (x))=f (x)

f (f (f (x))))=f (x) and so on.

Please help!!

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TopNewest@Mr X

Can they be classified into certain classes? – Abhi Kumbale · 1 week, 5 days ago

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f (x)=c where c is any real constant

and there's many other functions – Mr X · 1 week, 5 days ago

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There are infinitely number of different functions. – Mr X · 1 week, 5 days ago

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