Please solve this and show steps Find the inverse of xx 1So

Solution

Solution:

Given y = x/(x+1)

Solve for x in terms of y

y = x/(x+1)

y(x+1) = x

xy + y = x

xy - x + y = 0

xy - x = -y

x(y - 1) = -y

x = -y / (y - 1)

So the inverse of f(x) = x/(x+1) is

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