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

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

jadi invers f(x)= -3x+2/ 1-2x
atau jadi invers f(x) = 3x-2/ 2x-1

f(x)= x-2/2x-3 =y
y(2x-3)=x-2
2xy-3y=x-2
2xy-x=3y-2
x(2y-1)=3y-2
x=3y-2/2y-1
f' (x) = 3x-2/2x-1