f(x)=(x+2)/(5x-1) 的反函数f-¹(x)=?

问题描述:

f(x)=(x+2)/(5x-1) 的反函数f-¹(x)=?

令y=f(x)=(x+2)/(5x-1)
反解出x 即:
5yx-y=x+2
(5y-1)x=y+2
x=(y+2)/(5y-1)
故:f-1(x)=(x+2)/(5y-1)