The inverse function y = (1-2x) / (1 + 2x), X belongs to R, and X is not equal to - 1 / 2?

The inverse function y = (1-2x) / (1 + 2x), X belongs to R, and X is not equal to - 1 / 2?

y=(1-2x)/(1+2x)
Solve the equation about X and get x = (1-y) / [2 (1 + y)]
The inverse function of the function y = (1-2x) / (1 + 2x) is y = (1-x) / [2 (1 + x)]