Tolong bantu jawab ya Jika f (x) = 1/x+2 dan (fog)(x) = 1/x2+3 maka g(x-1) =

# f(x) = 1/(x+2)
# (fog)(x) = 1/(x^2 +3)

g(x-1) =...

jawab:

f(g(x)) = fog(x)
1/(g(x) +2)= 1/(x^2 +3)
g(x) +2 = x^2 +3
g(x) = x^2 +1

g(x-1) = (x-1)^2 +1
= x^2 - 2x + 2

maaf kalau salah

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

Pembahasan :
Fog(x) = f(g(x))
1/(x² + 3) = 1/[g(x) + 2]
G(x) + 2 = x² + 3
G(x) = x² + 1
G(x - 1) = (x - 1)² + 1
G(x - 1) = x² - 2x + 2