Problem #PRU-35379

Problems Calculus Functions of one variable. Continuity Certain properties of a function and recurrence relations. Algebra and arithmetic Algebraic equations and systems of equations Systems of linear equations
 14–15  3.0

Problem

Find all functions \(f (x)\) defined for all real values of \(x\) and satisfying the equation \(2f (x) + f (1 - x) = x^2\).