f(x)= 3x-4/2x-5 ,maka f^-1 (2)

Bab Fungsi
Matematika SMA Kelas X

f(x) = (ax + b)/(cx + d)
f^(-1) (x) = (-dx + b)/(cx - a)

f(x) = (3x - 4)/(2x - 5)
f^(-1) (x) = (5x - 4)/(2x - 3)
f^(-1) (2) = (5 . 2 - 4)/(2 . 2 - 3)
f^(-1) (2) = (10 - 4)/(4 - 3)
f^(-1) (2) = 6

Invers Fungsi

f(x) = 3x-4/2x-5
y(2x-5) = 3x - 4
2xy - 5y = 3x -4
x(2y -3) = 5y - 4
x = 5y-4/ 2y-3

f^-1 (2)
= 5(2) - 4 / 2(2) - 3
= 10 - 4 / 1
= 6 ← jawaban