Tolong nomor. 23 ya.. Terimakasih

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Invers

Pembahasan :
23.

f(x) = (2x + 1)/(x - 3)
y = (2x + 1)/(x - 3)
xy - 3y = 2x + 1
xy - 2x = 1 + 3y
x(y - 2) = 1 + 3y
x = (1 + 3y)/(y - 2)
f¯¹(x) = (3x + 1)/(x - 2)
f¯¹(x) = (3x + 1)/(x - k)

Maka k = 2

Jawaban : E