Problem #PRU-35379

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

Problem

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