文[1]论证了在特定条件下函数y=f(x+a)的反函数是y=f-1(x)-a,文[2]进一步推理出两函数y=f(ax+b)与y=1af-1(x)-ba的图象关于直线y=x对称.顺势顿悟,本文来探索更一般的相关结论.定理1　如果内层函数u=g(x)使集合A到集合B上的映射既是单射*又是满射**,外层函数y=f(u)使集合B到集合 The paper [1] argues that under certain conditions, the inverse function of the function y=f(x+a) is y=f-1(x)-a, and [2] further infers two functions y=f(ax+b). ) The image of y=1af-1(x)-ba is symmetrical about the line y=x. In this episode, we will explore more general relevant conclusions. Theorem 1 If the inner function u = g(x) makes set A to The mapping on set B is both single shot and full shot, and the outer function y=f(u) makes set B to set