Swap x and 1 − x
Difficulty: Hard · Topics: Algebra, Functions, Functional Equations
x va 1 − x ning o‘rnini almashtiring
For all real x,
f(x)+x f(1-x)=x+1.
Find f(2).
Barcha haqiqiy x uchun
f(x)+x f(1-x)=x+1.
f(2) ni toping.
Difficulty: Hard · Topics: Algebra, Functions, Functional Equations
x va 1 − x ning o‘rnini almashtiring
For all real x,
f(x)+x f(1-x)=x+1.
Find f(2).
Barcha haqiqiy x uchun
f(x)+x f(1-x)=x+1.
f(2) ni toping.