Chapter 0 - Before Calculus - 0.4 Inverse Functions - Exercises Set 0.4 - Page 46: 29

$y=\frac{3-x}{1-x}$

$x=\frac{3-y}{1-y}$ $x=\frac{2+1-y}{1-y}$ $x=\frac{2}{1-y}+\frac{1-y}{1-y}$ $x=\frac{2}{1-y}+1$ $x-1=\frac{2}{1-y}$ $1-y=\frac{2}{x-1}$ $y-1=\frac{-2}{x-1}$ $y=\frac{-2}{x-1}+1$ $y=\frac{-2}{x-1}+\frac{x-1}{x-1}$ $y=\frac{-2+x-1}{x-1}$ $y=\frac{x-3}{x-1}$ $y=\frac{3-x}{1-x}$