Find all functions $f:\mathbb R \to \mathbb R$ that satisfy $f(x) + 3 f\left( \frac {x-1}{x} \right) = 7x$ for all nonzero $x$.

Asked Oct 14 '16 at 23:26

Active Oct 14 '16 at 23:29

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Find all functions $f:\mathbb R \to \mathbb R$ that satisfy $$ f(x) + 3 f\left( \frac {x-1}{x} \right) = 7x $$ for all nonzero $x$.

I don't know what's going on today, my brain is not moving! I'm stuck on this problem. Solutions are greatly appreciated.

edited Oct 14 '16 at 23:29

Git Gud

asked Oct 14 '16 at 23:26

Yuna Kun

2

I mean, come on, the question is identical, and that one was asked within one hour ago. – Simply Beautiful Art Oct 14 '16 at 23:31
@SimpleArt Math Stackexchange better come up with a better search system because the other question did not pop up when I did a search for duplicates. – Yuna Kun Oct 16 '16 at 23:57
I cannot argue for that, but it suspicious when identical questions show up within a one hour time frame. Also note that it is difficult to search for specific equations and newly posted questions may not show up the top of the search. – Simply Beautiful Art Oct 17 '16 at 00:00

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