Question

Tolong bantu matematika pls

Answer 1

Untuk mencari (f o g)^-1(x), tentukan dulu (f o g)(x) nya,
(f o g)(x) = f(g(x))
= (4((3x - 2)/(x - 4)) - 2)/((3x - 2)/(x - 4)) - 3)
= ((12x - 8)/(x - 4)) - 2)/((3x - 2) - 3(x - 4))/(x - 4))
= ((12x - 8) - (2x - 8))/(x - 4))/(10/(x - 4))
= (10x/(x - 4))/(10/(x - 4))
= x
Invers komposisinya,
(f o g)(x) = y
x = y
Maka, (f o g)^-1(x) = x.