mohon bantuannya.....

Diketahui :
f (x) = (x + 4) / (x - 6)
g (x) = 2x - 1

Ditanya : fog⁻¹(x)?

Dijawab :
fog (x)
= f (g (x))
= f (2x - 1)
= ((2x - 1) + 4) / ((2x - 1) - 6)
= (2x + 3) / (2x - 7)

fog (x) = (2x + 3) / (2x - 7)
Misal :
y = fog (x)

fog (x) = (2x + 3) / (2x - 7)
y = (2x + 3) / (2x - 7)
2xy - 7y = 2x + 3
2xy - 2x = 7y + 3
x (2y - 2) = 7y + 3
x = (7y + 3) / (2x - 2)
fog⁻¹(x) = (7x + 3) / (2x - 2)

Jadi fog⁻¹(x) = (7x + 3) / (2x - 2).
Jawabannya adalah C