有些资料上,在处理方程f(x)=f_(-1)时,往往转化成解方程f(x)=x,这种转化的根据是:“两个函数若互为反函数,则它们的交点在直线y=x上”,事实上,这个结论是错误的,因为互为反函数的函数图象关于直线y=x对称,若y=f(x)与y=f_(-1)(x)的图象有交点M(a,b)(其中a≠b),则M’(b,a)是它们的另一交点.一般地,有如下性质: On some data, when dealing with the equation f(x)=f_(-1), it is often converted into the solution equation f(x)=x. The basis for this transformation is: “If two functions are inverse functions to each other, then they are The point of intersection is on the line y=x. In fact, this conclusion is wrong because the image of the function that is an inverse function is symmetrical about the line y=x, if y=f(x) and y=f_(-1) The image of (x) has an intersection M(a,b) (where a≠b), then M′(b,a) is their other intersection. In general, there are the following properties: