jika di tentukan f(x)= 4x-3/x-2 dengan x≠2 maka f^-1 (5) =

Invers Fungsi

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

Maka
f^-1(5)
= 2(5)-3 / 5-4
= 7

f(x) = (4x - 3)/(x - 2)

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

(4x - 3)/(x - 2) = 5
Kali silang
4x - 3 = 5x - 10
5x - 4x = 10 - 3
x = 7

f^-1 (5) = x = 7 ✔