NDA Mathematics Question (2026) — Solution

Step-by-step solution

Given equation is 2f(x) + f(1-x) = x. Replacing x with 1-x, we get: 2f(1-x) + f(x) = 1-x Multiplying the first equation by 2, we get: 4f(x) + 2f(1-x) = 2x Subtracting the second equation from this, we get: 3f(x) = 2x - (1-x) 3f(x) = 3x - 1 f(x) = x - 1 3 Answer: x- ( 1 3 )