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Function Existence Exercise (Posted on 2015-10-11) Difficulty: 3 of 5
R denotes the set of real numbers. Does there exist functions F: R → R such that:
F(F(x)) = x2 - 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: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Almost there?Steve Herman2015-10-14 11:13:01
re(2): Almost there?Jer2015-10-14 10:07:48
re: Almost there?Steve Herman2015-10-13 14:36:23
Some ThoughtsAlmost there?Jer2015-10-13 14:01:28
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