diketahui f (x) = x^2 + 4 dan g(x) = 3x - 1, maka (f o g) (1) =...

Bab Fungsi Komposisi
Matematika SMA Kelas XI

(fog) (x) = f(3x - 1)
(fog) (x) = (3x - 1)² + 4
(fog) (x) = 9x² - 6x + 1 + 4
(fog) (x) = 9x² - 6x + 5
(fog) (1) = 9 - 6 + 5 = 8

f(x) = x² + 4
g(x) = 3x - 1

(fog)(x) = f(g(x))
f(x) = x² + 4
f(g(x)) = (g(x))² + 4
f(3x - 1) = (3x -1)² + 4
f(3x - 1) = 9x² - 6x + 1 + 4
f(g(x)) = 9x² - 6x + 5
f(g(1)) = 9 - 6 + 5
f(g(1)) = 8