Question

f(x+1)=1/x的反函数？

Answer 1

先根据题目条件写出f(x)
f(x)=1/(x-1)
则可得：
x=1/f(x)+1
记反函数为g(x)
所求反函数即为
g(x)=1/x+1

Answer 2

f(x+1) = 1/x = 1/[(x+1)-1], y = f(x) = 1/(x-1)
x -1 = 1/y, x = 1 + 1/y = (y+1)/y,
反函数 y = (x+1)/x