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December 2nd, 2016, 08:05 AM   #1
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Polynomial function transform two function

Hello,
I have polynomial function (Blue function) and write this to two independent function.

Now red function is F(x) based F0(x) and F1(x).
How can write red function?
Thanks
Attached Images fx.JPG (44.5 KB, 7 views) ffx.JPG (22.5 KB, 6 views) December 2nd, 2016, 08:39 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 Is that first thing written in f(x) a 4? That is, is $\displaystyle f(x)= 4+ 3x+ 5x^2+ 7x^3+ 2x^4+ 5x^5$? Which you then separate into "even" and "odd" powers $\displaystyle = (4+ 5x^2+ 2x^4)+ (3x+ 7x^3+ 5x^5)$ and factor "x" out of the odd powers $\displaystyle = (4+ 5x^2+ 2x^4)+ x(3+ 7x^2+ 5x^4)$ You then also have defined $\displaystyle f_0(x)= 4+ 5x^2+ 2x^4$ and $\displaystyle f_1(x)= 3+ 7x^2+ 5x^4$. Then, yes, the function above is $\displaystyle f(x)= f_0(x)+ xf_1(x)$ (It is not a good idea to use "x" as a variable and also as a multiplication sign which you appear to have done! Use "*" if not just "juxtaposition" to indicate multiplication.) Thanks from topsquark and life24 December 2nd, 2016, 09:29 AM   #3
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Exactly but we have power 2
I problem with this.
I rewrite the red function.
Attached Images photo367218669177121407.jpg (89.8 KB, 0 views)

Last edited by life24; December 2nd, 2016 at 09:32 AM. Tags function, polynomial, transform Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post bobred76 Differential Equations 1 January 2nd, 2015 01:41 AM islandboy Complex Analysis 2 July 21st, 2014 02:29 PM ptrinka Differential Equations 0 May 18th, 2014 09:27 AM yoamocuy Real Analysis 0 January 30th, 2012 07:06 PM PSBlueprint54 Real Analysis 0 November 15th, 2011 08:08 AM

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