diket bahwa f(x)=2x dan g(x0=3-5x maka (gof)^-1(x)=

Fungsi Komposisi dan Invers

f(x) = 2x
g(x) = 3 - 5x

(gof)^-1 (x)?

Cari gof dlu

gof(x)
= g(f(x))
= g(2x)
= 3 - 5(2x)
= 3 - 10x

....
y = 3 - 10x
10x = 3 - y
x = (3-y)/10

(gof)^-1(x) = ( 3 - x )/10

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

Pembahasan :
Gof(x) = g(f(x))
Gof(x) = 3 - 5(2x)
Gof(x) = 3 - 10x

Ingat !
Gof(x) = ax + b
Gof¯¹(x) = (x - b)/a

Maka...
Gof(x) = 3 - 10x
Gof¯¹(x) = - (x - 3)/10