How do you find the inverse function of: y = (x+1) / (2x + 1)?

1 Answer
Aug 7, 2015

x= (1-y)/(2y-1)

Explanation:

Given y = (x+1)/(2x+1)

color(white)("XXXX")2xy+y = x+1

color(white)("XXXX")2xy-x-1+y = 0

color(white)("XXXX")x(2y-1) -1+y = 0

color(white)("XXXX")x(2y-1) = 1-y

color(white)("XXXX")x = (1-y)/(2y-1)