F(x)=x+3/x-4 G(x)=3x-1 Dit=(gof) ^-1(x)

Kelas 10 Matematika
Bab Fungsi Komposisi

h(x) = (ax + b)/(cx + d)
h^-1 (x) = (-dx + b)/(cx - a)

(gof) (x)
= g((x + 3)/(x - 4))
= 3 ((x + 3)/(x - 4)) - 1
= (3x + 9 - x + 4)/(x - 4)
= (2x + 13)/(x - 4)

(gof)^-1 (x)
= (4x + 13)/(x - 2)