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在函数的教学中,复合函数是一个教材不讲、理解困难、考试要考的老大难问题。本文将从函数定义出发考虑复合函数的定义域、解析式和值域,希望能为读者理解复合函数提供帮助。最新的人教版教材函数定义是:设A,B是非空的数集,如果按照某种确定的对应关系f,使对于坌x∈A,在集合B中都有唯一确定的数埚y=f(x)和它对应,那么就称f:A→B为从集合A到
In the function of teaching, the composite function is a chronic problem that teaching materials do not speak, understand difficulties, exams to test. Starting from the function definition, this paper considers the definition of domain, analytic formula and range of complex functions, hoping to help readers to understand complex functions. The definition of the function of the most recent PEP textbook is: Suppose that A and B are non-empty number sets, and if we have a certain correspondence f such that for 坌 x∈A there is a unique number in the set B, y = f (x) corresponds to it, then we say that f: A → B is from set A to