1.Tentukan f-1(x) dari x-1/x+5 2.Tentukan f-1(x) dari 2x+1/x-2

Nomor 1 :
f (x) = (x - 1) / (x + 5)
Misal :
y = f (x)

f (x) = (x - 1) / (x + 5)
y = (x - 1) / (x + 5)
xy + 5y = x - 1
xy - x = -5y - 1
x (y - 1) = -5y - 1
x = (-5y - 1) / (y - 1)
f'(x) = (-5x - 1) / (x - 1)

Nomor 2 :
f (x) = (2x + 1) / (x - 2)
Misal :
y = f (x)

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