1. diketahui f(x) = 3x -1 dan (fog)(x) = x^2 + 5 tentukan g(x)
Jawaban Terkonfirmasi
f(x) = 3x -1 dan (fog)(x) = x^2 + 5
(fog)(x) = f(g(x))
= 3(g(x)) -1 = x² + 5
maka
x² + 5 = 3((x²/3) + 2) – 1
Jadi g(x) = (x²/3) + 2
1. diketahui f(x) = 3x -1 dan (fog)(x) = x^2 + 5 tentukan g(x)
f(x) = 3x -1 dan (fog)(x) = x^2 + 5
(fog)(x) = f(g(x))
= 3(g(x)) -1 = x² + 5
maka
x² + 5 = 3((x²/3) + 2) – 1
Jadi g(x) = (x²/3) + 2