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October 23rd, 2018, 10:07 PM  #1 
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  A recurrence equation
Hello everybody, Solve the recurrence equation $\displaystyle f(x^2+1)f(x^21)=3x^2+2x+1$. All the best, Integrator 
October 24th, 2018, 05:58 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,969 Thanks: 2219 
What do you mean by "recurrence equation"?

October 24th, 2018, 01:04 PM  #3 
Senior Member Joined: Dec 2015 From: somewhere Posts: 636 Thanks: 91 
First be sure $\displaystyle f(x^2 +1) $ and $\displaystyle f(x^2 1) $ is a polynomial function

October 24th, 2018, 01:14 PM  #4 
Member Joined: Oct 2018 From: Netherlands Posts: 39 Thanks: 3 
Probably meant is a "recurrence relation" which is a type of equation defining a function through recursion. Explains why the polynomial is missing. https://en.wikipedia.org/wiki/Recurrence_relation Last edited by Arisktotle; October 24th, 2018 at 01:31 PM. 
October 24th, 2018, 09:39 PM  #5 
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  
October 25th, 2018, 06:59 AM  #6 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,270 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  
October 25th, 2018, 08:34 PM  #7  
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  Quote:
If $\displaystyle f(x^2 + 1) = x^2  1 + ln(x)$ and $\displaystyle f(x^2  1) = 3x + 5 + ln(x)$ , then what expression has $\displaystyle f(x)$?Thank you very much! All the best, Integrator  

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