Question

determine a inversa de y=2x+1/1+x

Answer 1

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

Answer 2

x=(2y+1)/(1+y) ---->(1+y)·x=2y+1---->x+yx-2y=1 ---->y·(x-2)=1-x---->y=(1-x)/(x-2)