24 Jun
2017
24 Jun
'17
3:46 a.m.
My college magazine includes this challenge: Find a function f(x) such that for every real x not equal to 0 or 1, we have f(1/x) + f(1-x) = x It's from Oxford BNC's Konstantin Ardakov. I guess there's a clue here that 1/x and 1/(1-x) feature in the solution ... but how does one go about this? Guy