Question

F(x) = 3x+2 dan g(x) = 4-2x tentukan nilai x supaya (fog)^{-1}(x) = ( f^{-1} o g^{-1})(x)[

Answer 1

Fog(x)= 3(4-2x) + 2
fog(x) = -6x + 14
(fog)^-1(x) = 14/6 - 1/6 x
.
gof(x) = 4- 2(3x-2) 
gof(x) = - 6x
(gof)^-1(x) = - 1/6 x
.
f^-1 o g^-1 (x)  = (gof)^-1(x)
14/6 - 1/6 x = -1/6 x
14 - x = - x
x = Ф