tentukan nilai f(x) jika g(x) = x-2/2x-3 dan gof(x)=3x-5 bantu pakai cara kkak

Fungsi Komposisi

Misal :
f(x) = a
g(x) = (x - 2)/(2x - 3)

•••
g(f(x)) = 3x - 5
g(a) = 3x - 5
(a - 2)/(2a - 3) = 3x - 5
Kali silang
a - 2 = 6ax - 10a - 9x + 15
a(11 - 6x) = -9x + 17
a = (-9x + 17)/(11 - 6x)

f(x) = a = (-9x + 17)/(11 - 6x) ✓