MathDB

11.6

Part of 1994 All-Russian Olympiad Regional Round

Problems(1)

(x-1)f )( x+1)/(x−1) )- f(x) = x All-Russian MO 1994 Regional (R4) 11.6

Source:

8/26/2024
Find all functions satisfying the equality (x−1)f(x+1x−1)−f(x)=x(x-1)f \left(\dfrac{x+1}{x-1}\right)- f(x) = x for all x≠1x \ne 1.
algebrafunctional