Question

数学题目求助【函数】已知f（x+1）=x/(x+1）,则f-1(x+1)=?【反函数】

Answer 1

f(x+1)=x/(x+1)=(x+1-1)/(x+1)

令t=x+1

f(t)=(t-1)/t=1-1/t

t=1/(1-f(t))

所以f-1(t)=1/(1-t)

f-1(x+1)=-1/x