mohon bantuannya teman-teman

Mapel : Matematika

Kelas : 10

Bab : Fungsi
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Misalkan :

x - 4/x + 6 = y
x - 4 = xy + 6y
x - xy = 6y + 4
x(1 - y) = 6y + 4
x = 6y + 4/1 - x

⏩ Nilai fungsi invers f(x)

f-¹(x) = 6x + 4/1 - x



⏩Maka Nilai g(x)

(f-¹o g) (x) = x + 3

f-¹(g(x)) = x + 3

6(g(x)) + 4/1 - g(x) = x + 3

6(g(x)) + 4 = (x + 3)(1 - g(x))

6(g(x)) + 4 = x - xg(x) + 3 - 3g(x)

6g(x) + 3g(x) = x - xg(x) + 3 - 4

9g(x) + xg(x) = x - 1

g(x) (9 + x) = x - 1

g(x) = x - 1/9 + x



⏩ Maka,

g(x - 2) = (x - 2) - 1/9+ (x - 2)

g(x - 2) = x - 3/7 + x


→ Opsi B ✔✔