diketahui f(x) = 2-3x/4x + 1, x ≠ - ¼. Jika f-¹(x) adalah invers fungsi f, maka f-¹(x-2) = …

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