How to Solve f(x) + 2f(1-x) = x² | JEE Functional Equation Trick

In this video, we solve a standard functional equation problem commonly asked in JEE Main and Advanced: Given f(x) + 2f(1 - x) = x^2 Find the value of f(10). Learn the standard replacement substitution method (x \to 1 - x) to eliminate terms and find f(x) quickly. Timestamps: 0:00 - Problem statement 0:54 - Setting up substitution (x \to 1-x) 01:45 - Eliminating f(1-x) to find f(x) 03:25 - Calculating f(10) 04:00 - Practice problems & summary 🔔 Subscribe to Siyesh IIT-JEE for more problem-solving tricks and concepts: @Siyesh_IIT-JEE functional equation, functional equations jee, jee maths, jee main functions, f(x) + 2f(1-x), functional equations substitution method, functions class 12 jee, iit jee maths, calculus jee main, functional equation trick, siyesh iit jee #JEE #JEEMain #JEEAdvanced #Calculus #Functions #FunctionalEquations #MathsTricks