世界杯亚洲预选赛顾超:f(x)=1-x/1+x,那么f(1/f)是什么?能给我求解过程和方法吗?
来源:百度文库 编辑:杭州交通信息网 时间:2024/05/19 16:10:24
f(x) = (1-x)/(1+x)
f(1/f(x))
= (1-f(x))/(1+f(x))
= (1-(1-x)/(1+x)) / (1+(1-x)/(1+x))
= (1+x-1+x) / (1+x+1-x)
= x
f(x) = (1-x)/(1+x)
f(1/f(x))
= (1-f(x))/(1+f(x))
= (1-(1-x)/(1+x)) / (1+(1-x)/(1+x))
= (1+x-1+x) / (1+x+1-x)
= x