MathCastle
ChallengeChallenge

Challenge · Challenge problem

A function ff satisfies

f(x)+f ⁣(11−x)=xf(x) + f\!\left(\frac{1}{1-x}\right) = x

for every real x≠0,1x \ne 0, 1. What is f(12)f(\dfrac{1}{2})?

Practice more like this