tentukan invers dari f(x) = (3x-2) / (5-x)

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

Pembahasan :
f(x) = (3x - 2)/(5 - x)

Buat Persamaan y = f(x)
y = (3x - 2)/(5 - x)
5y - xy = 3x - 2
3x + xy = 5y + 2
x(3 + y) = 5y + 2
x = (5y + 2)/(3 + y)
f¯¹(x) = (5x + 2)/(3 + x)

f(x) = (3x - 2) / (5 - x)
y = (3x - 2) / (5 - x)
y(5 - x) = 3x - 2
5y - xy = 3x - 2
3x + xy = 5y + 2
x(3 + y) = (5y + 2)
x = (5y + 2) / (3 + y)

inver
f`¹(x) = (5x + 2) / (3 + x)

semoga berguna +_+