Problem #PRU-109577

Problems Calculus Functions of one variable. Continuity Certain properties of a function and recurrence relations.
 14–16  4.0

Problem

The function \(f (x)\) is defined and satisfies the relationship \((x-1) f((x=1)/(x-1)) - f (x) = x\) for all \(x \neq 1\). Find all such functions.