Jawab no 20 Soal berupa lampiran Materi kelas X

jawab

g(x-2) = (x- 4)/(x+2)
g⁻¹ {(x-4)/(x+2)} =  x- 2
g⁻¹ (2) =..
(x- 4)/(x+2)= 2
2(x+ 2)= x - 4
2x + 4 = x - 4
x = -8

g⁻¹(2)= - 8 - 2  =-10

(fog)⁻¹ (2)=  f{g⁻¹(2)}
= f(-10)
= (-10)² + 3
= 103

Ikutan..

g(x - 2) = (x - 4)/(x + 2)
g(x - 2) = ((x - 2) - 2) / ((x - 2) + 4)
g(x) = (x - 2)/(x + 4)

g^-1 (x) = (-4x - 2)/(x - 1)
g^-1 (2) = (-8 - 2)/(2 - 1) = -10

f(x) =
f(g^-1 (2))
= f(-10)
= (-10)² + 3
= 103 ✔