Browse · MATH Print → jmc algebra intermediate Problem The function f(x) satisfies f(x)+f(2x)+f(2−x)+f(x+1)=xfor all real numbers x. Find f(0). Solution — click to reveal Setting x=0, we get 2f(0)+f(1)+f(2)=0.Setting x=1, we get 2f(1)+2f(2)=1.Hence, f(1)+f(2)=21, so 2f(0)+21=0. Then f(0)=−41. Final answer -\frac{1}{4} ← Previous problem Next problem →