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Function Existence Exercise (
Posted on 20151011
)
R denotes the set of real numbers. Does there exist functions F: R → R such that:
F(F(x)) = x
^{2}
 2?
If so, find all such functions.
If not, prove that no such function can exist.
Source: American Mathematical Monthly
No Solution Yet
Submitted by
K Sengupta
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Comments: (
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Subject
Author
Date
re(2): Almost there?
Steve Herman
20151014 11:13:01
re(2): Almost there?
Jer
20151014 10:07:48
re: Almost there?
Steve Herman
20151013 14:36:23
Almost there?
Jer
20151013 14:01:28
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