invers dari f (x) 3x -8 per x + 4 adalah...

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

Pembahasan :
f(x) = (3x - 8)/(x + 4)
y = (3x - 8)/(x + 4)
xy + 4y = 3x - 8
xy - 3x = -(8 + 4y)
x(y- 3) = -(8 + 4y)
x = -(8 + 4y)/-(3 - y)
x = (8 + 4y)/(3 - y)
f¯¹(x) = (8 + 4x)/(3 - x)

f(x) = (3x - 8)/(x + 4)
y = (3x - 8)/(x + 4)
y(x + 4) = 3x - 8
yx + 4y = 3x - 8
3x - yx = 4y + 8
x (3 - y) = 4y + 8
x = (4y + 8)/(3 - y)
f^(-1)(x) = (4x + 8)/(3 - x)