diketahui fungsi f(x) = 3x-1 dan g(x) = x+2 / x-1. hasil dari (f o g)^-1 (0) adalah

jawab

fungsi invers
f(x) = 3x - 1
g(x) = (x +2)/(x - 1)

fog(x)= f { g(x)} = f{ (x+2)/(x -1)} 
fog(x)= (3x + 6)/(x -1)  - 1
fog(x)=  (3x + 6 -x +1)/(x -1)
fog(x) = (2x + 7)/(x -1)
(fog)⁻¹ { (2x + 7)/ (x -1) } = x
(fog)⁻¹ (0)= ...

(2x + 7)/(x - 1)= 0
2x + 7 = 0
x = - 7/2 = - 3,5

(fog)⁻¹(0) = - 3,5