Two Bijections from Four Clues
Difficulty: Hard · Topics: Algebra, Functions, Composition of Functions
To‘rt ishoradan ikki biyeksiya
Let X=\1, 2, 3\, and let f,g:X→ X be one-to-one functions with
f(1)=g(3)=2 and (g° f)(1)=(f° g)(3)=3.
Find (f° g)(1)+(g° f)(3).
X=\1, 2, 3\ va f,g:X→ X — quyidagi shartlarni qanoatlantiruvchi inyektiv funksiyalar bo‘lsin:
f(1)=g(3)=2 and (g° f)(1)=(f° g)(3)=3.
(f° g)(1)+(g° f)(3) ni toping.