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October 23rd, 2018, 11:07 PM  #1 
Newbie Joined: Aug 2018 From: România Posts: 22 Thanks: 2  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, 06:58 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,098 Thanks: 1905 
What do you mean by "recurrence equation"?

October 24th, 2018, 02:04 PM  #3 
Senior Member Joined: Dec 2015 From: Earth Posts: 319 Thanks: 42 
First be sure $\displaystyle f(x^2 +1) $ and $\displaystyle f(x^2 1) $ is a polynomial function

October 24th, 2018, 02:14 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 02:31 PM. 
October 24th, 2018, 10:39 PM  #5 
Newbie Joined: Aug 2018 From: România Posts: 22 Thanks: 2  
October 25th, 2018, 07:59 AM  #6 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,980 Thanks: 789 Math Focus: Wibbly wobbly timeywimey stuff.  
October 25th, 2018, 09:34 PM  #7  
Newbie Joined: Aug 2018 From: România Posts: 22 Thanks: 2  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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