hello :
let : [tex]y= \frac{3x-7}{x+1} [/tex]
calculate : x ......x ≠ -1
[tex]y(x+1) = 3x-7[/tex]
[tex]yx+y =3x-7[/tex]
[tex]yx-3x = -y-7[/tex]
[tex]x(y-3) = -7-y[/tex]
[tex]x = \frac{y+7}{3-y} [/tex]
the inverse function is : [tex]g(x) = \frac{x+7}{3-x} [/tex]
domain of : g is the range of : f
as an interval : ]-∞: 3 [U ]3;+∞[
