Question

What is the inverse function of `f(x)=x/(x+1)`?

Answer 1

`f^-1 x= x/(1-x)`

Explanation:

Let y= `x/(1+x)`. Now change y to x and x to y,

x= `y/(1+y)`. Now solve it for y,

x+xy =y

x= (1-x)y

y=`f^-1 x= x/(1-x)`