tentukan invers dari a. f(x) = 2x+4/x-3

f(x) = (2x + 4) / (x - 3)
y = (2x + 4) / (x - 3)
y(x - 3) = 2x + 4
xy - 3y = 2x + 4
xy - 2x = 4 + 3y
x(y - 2) = 4 + 3y
x = (3y + 4) / (y - 2)
f^-1(x) = (3x + 4) / (x - 2)

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Komposisi dan Fungsi Invers

Pembahasan :
f(x) = (2x + 4)/(x - 3)
y = (2x + 4)/(x - 3)
xy - 3y = 2x + 4
xy - 2x = 4 + 3y
x(y - 2) = 4 + 3y
x = (4 + 3y)/(y - 2)
f¯¹(x) = (4 + 3x)/(x - 2)