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在学习函数的过程中,经常会遇到y= f[g(x)]形式的函数,这样的函数叫复合函数． u=g(x)称为内函数,f(u)称为外函数．而判定复合函数的单调性是一个难点,下面通过例题说明如何判定复合函数的单调性．
In the process of learning a function, you often encounter a function in the form y= f[g(x)]. Such a function is called a compound function. u=g(x) is called an intrinsic function and f(u) is called an outer function. It is difficult to determine the monotonicity of the compound function. The following example demonstrates how to determine the monotonicity of the compound function.