Question

Função inversa de  f(x) = 2x - 3 /x + 1

Answer 1

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