The inverse is found by interchanging x and y
f(x) = y
[tex]\text{x = }\frac{2y - 3}{y + 1}[/tex]
Multiply both sides by y + 1
x*(y + 1) = 2y - 3 Remove the brackets on the left
xy + x = 2y - 3 Subtract xy on both sides
x = 2y - xy - 3 Add 3 to both sides
x + 3 = 2y - xy Factor out y on the right. Use the inverse distributive law
x + 3 = y*(2 - x) Divide both sides by 2 - x
[tex]\dfrac{x + 3}{2 - x}\text{=y=f(x)}[/tex]
