find continuous functions
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Let $alpha in mathbb {R}$, $ alpha> 1$. Find all the functions $
f: mathbb {R} rightarrow mathbb {R} $ continuous that satisfy: $ f (x) + f (alpha x) = x $, for all $ x in mathbb {R} $.
real-analysis
asked Nov 17 at 1:55
JOSE ELIAS ZUÑIGA NAVARRETE
111
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Let $alpha in mathbb {R}$, $ alpha> 1$. Find all the functions $
f: mathbb {R} rightarrow mathbb {R} $ continuous that satisfy: $ f (x) + f (alpha x) = x $, for all $ x in mathbb {R} $.
real-analysis
asked Nov 17 at 1:55
JOSE ELIAS ZUÑIGA NAVARRETE
111
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
Nov 17 at 18:56
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Let $alpha in mathbb {R}$, $ alpha> 1$. Find all the functions $
f: mathbb {R} rightarrow mathbb {R} $ continuous that satisfy: $ f (x) + f (alpha x) = x $, for all $ x in mathbb {R} $.
real-analysis
asked Nov 17 at 1:55
JOSE ELIAS ZUÑIGA NAVARRETE
111
Let $alpha in mathbb {R}$, $ alpha> 1$. Find all the functions $
f: mathbb {R} rightarrow mathbb {R} $ continuous that satisfy: $ f (x) + f (alpha x) = x $, for all $ x in mathbb {R} $.
real-analysis
real-analysis
asked Nov 17 at 1:55
JOSE ELIAS ZUÑIGA NAVARRETE
111
asked Nov 17 at 1:55
JOSE ELIAS ZUÑIGA NAVARRETE
111
edited Nov 24 at 5:41
asked Nov 17 at 1:55
JOSE ELIAS ZUÑIGA NAVARRETE
111
asked Nov 17 at 1:55
JOSE ELIAS ZUÑIGA NAVARRETE
111
asked Nov 17 at 1:55
JOSE ELIAS ZUÑIGA NAVARRETE
111
111
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
Nov 17 at 18:56
add a comment |
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
Nov 17 at 18:56
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
Nov 17 at 18:56
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
Nov 17 at 18:56
add a comment |
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Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
Nov 17 at 18:56