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Eventual Inverse Function (Posted on 2022-04-08) Difficulty: 3 of 5
Some functions are their own inverse.

For example: the function f(x)=1/x has f(f(x))=x

There are also functions that when iterated thrice become the identity.

For example: The function f(x)=1/(1-x) has f(f(x))=(x-1)/x and f(f(f(x)))=f3(x)=x.

Are there functions for other values of n (or perhaps all values of n) where fn(x)=x but fm(x)≠x for any m<n?

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

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  Subject Author Date
Solutiona set of solutionsCharlie2022-04-10 06:21:47
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