Diketahui f^-1 = { (1,-1) ; (2,-2) ; (3,2) ; (4,0) } g^-1 = { (3,-2) ; (-1,3) ; (2,1) , (3,4) } Tentukan : 1. (gof)^1 dalam bentuk pasangan berurutan 2. Nilai (

jawab

1. (gof)⁻¹ =  (f⁻¹ o g⁻¹)(x)

g⁻¹(x) .......f⁻¹ (x).....f⁻¹ o g⁻¹
(3,-2) ---> (2, {}) --> (3, {}) 
(-1,3) ---> (3, 2) --> (-1, 2)
(2, 1) ---> (1, -1) --> (2, -1)
(3.,4) ---> (4, 0)---> (3. 4 }
Pasang berurutan  (3, {}), (-1, 2), (2, -1), (3, 4)

2.  (gof)⁻¹ (2) + 2 . f(2) - 3 g(2) = 
= (-1) + 2(3) - 3 ({}
= -1 + 6 - {}
=  5 + {}