Jika f-1(x) = x-1/5 dan g-1(x) = 3-x/2 , maka tentukan

Jika f-1(x) = x-1/5 dan g-1(x) = 3-x/2 , maka tentukan (fog)^-1(6)!

Jawaban
f⁻¹(x) = (x-1)/5
g⁻¹(x) = (3-x)/2
(fog)⁻¹ (6) = (g⁻¹ o f⁻¹)(6)
(fog)⁻¹(6) = g⁻¹ { f⁻¹(6)} = g⁻¹ { (6-1)/5 } = g⁻¹(1)
(fog)⁻¹(6) = g⁻¹(1) = (3-1)/2 = 2/2 = 1

Dijawab Oleh : Kunjaw