Jika f(x) = x-3/x+1 dan g(x) = 4x+2. Invers dari (gof) (x). Adalah... Tolong bantu jawab secepatnya

jawab

fungsi invers

gof(x) = g { f(x)} 
= g{ ( x- 3)/(x+1) }
= 4 { (x - 3) / (x +1)} + 2
 = (4x -12)/ (x + 1)  + 2
= { (4x -12 + 2(x +1) }/ ( x+ 1)
=  (4x -12 + 2x+ 2) / (x + 1)
= ( 2x - 10) / (x  + 1)
y = (2x  -10) / (x + 1)
y(x + 1) = 2x - 10
xy + y = 2x - 10
xy - 2x = -y - 10
x(y - 2)= -y -10
x = (-y -10)/(y - 2)

(gof)⁻¹(x)=  (-x - 10)/ (x - 2)  atau (x +10)/(2 - x)