主题:函数的映射
有没有学英文版离散的高手呀?
Suppose that we are given functions g : A→B and f : B→C.
(a) If f and f o g are one-to-one, does it follow that g is one-to-one? Justify your answer.
(b) If g and f o g are one-to-one, does it follow that f is one-to-one? Justify your answer.
Suppose that we are given functions g : A→B and f : B→C.
(a) If f and f o g are one-to-one, does it follow that g is one-to-one? Justify your answer.
(b) If g and f o g are one-to-one, does it follow that f is one-to-one? Justify your answer.