Question

find the inverse of the function: f(x)= 2x-3/x+1
I need the steps to solve for y I get stuck after I multiply both sides by y+1

Answer 1

$f(x)=\frac{2x-3}{x+1}\\\\ y=\frac{2x-3}{x+1}\\\\ y(x+1)=2x-3\\\\yx+y=2x-3\\\\yx-2x=-3-y\\\\x(y-2)=-3-y\\\\ x=\frac{-3-y}{y-2}\\\\ f(x)=\frac{-3-y}{y-2}$