Diketahutahui f(x)=x+5/×-3 x#3 dan g(x)=2×-4 tentukanlah rumus (fog)^-1(x)

◾ Materi : Invers
◾ Sub materi : Fungsi Invers
◾ Mapel : Matematika

Jawab :
f(x) = x+5 / x-3
g(x) = 2x-4

(fog)(x) = (2x-4)+5 / (2x-4) -3
(fog)(x) = 2x+1 / 2x-7
y = 2x+1/2x-7
y(2x-7) = 2x+1
2xy - 7y = 2x + 1
2xy - 2x = 7y + 1
x ( 2y - 2) = 7y + 1
x = 7y+1 / 2y-2
(fog)-¹(x) = 7x+1/2x-2

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-vin