All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Double Composition (Posted on 2019-05-06) Difficulty: 2 of 5
If f(f(x)) = 1 - 1/(x4+2x2+2), then find the value of f(0)

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Conditions for f? Comment 2 of 2 |
Without further information about f, one can pretty much prescribe any value c>0 as function value of f at 0. Just define f as
This works fine, since g is injectiv for positive arguments. Instead of starting with function value 0, we could take any other argument and prescribe any function value, as long as we avoid previously defined arguments. So unless we have other conditions for f, we can hardly calculate f(0).
Even if we assume that f can be expanded into a power series, it seems that there are quite many degrees of freedom. Maybe too many to fix f(0)?
Certainly quite a challenging Level-2 puzzle ;)

  Posted by JLo on 2019-12-23 07:59:55
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information