F(x)=3x-2, g(x)=x/x-1 invers (f o g) (x) Adalah..

fungsi invers

f(x) = 3x - 2
g(x)= x/ (x-1)

fog(x) =  3 {x /(x-1)} - 2
fog(x) = 3x/(x-1) - 2/(x-1)
fog(x) = (3x-2)/(x-1)

(fog)⁻¹{ (3x-2)/ (x-1)} = x

y = 3x -2/(x-1)
3x -2 = y(x-1)
3x -2 = xy - y
3x - xy = 2 - y
x(3 - y) = (2 - y)
x = (2 - y)/(3 - y)
(fog)⁻¹ (x)= (2-x)/(3-x)
atau
(fog)⁻¹ (x)= (x-2) /(x-3)