Beserta jalan ya. Mohon bantuannya besok kumpul

f○g (x) = 3x + 3/ x - 1
f(g(x)) = 3x +3 / x - 1
misalkan g(x) = y
3/2y - 1 = 3x +3/ x - 1
Kali silang
3x - 3 = 6xy +6y - 3x - 3
6x = 6xy + 6y
x = xy + y
x = y(x + 1)
y = x / (x + 1)
g(x) = x / x + 1

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

(fog)(x) = (3x + 3)/(x - 1)

Misal :
g(x) = a

f(a) = (3x + 3)/(x - 1)
3/(2a - 1) = 3(x + 1)/(x - 1)
Kali silang
x - 1 = (2a - 1)(x + 1)
x - 1 = 2a(x + 1) - 1(x + 1)
x - 1 + (x + 1) = 2a(x + 1)
2x = 2a(x + 1)
x = a(x + 1)
a = x / (x + 1)

•••
g(x) = x / (x + 1) dan x ≠ -1

Opsi B