Jikaf(x)=3x-4 dan g(x) =2/x-1 maka tentuakan nilai dari (gof) ^-1(1)=

(gof)(x)=g(f(x))
=2/3x-4-1
=2/3x-5

(gof)^-1(x)=-6/(3x-5)^2
=-6/9x^2-30x+25

(gof)^-1(1)= -6/9(1)^2-30(1)+25

=-6/9-30+25
=-6/4
=-3/2

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Komposisi dan Fungsi Invers

Pembahasan :
Gof(x) = g(f(x))
Gof(x) = 2/(3x - 4 - 1)
Gof(x) = 2/(3x - 5)
y = 2/(3x - 5)
3xy - 5y = 2
3xy = 2 + 5y
x = (2 + 5y)/3y
Gof¯¹(x) = (2 + 5x)/3x
Gof¯¹(1) = (2 + 5.1)/3.1
Gof¯¹(1) = (2 + 5)/3
Gof¯¹(1) = 7/3