f(x)=(2x+1), g(x)=3x^2-3
Di tanya (g o f) (x)![]()
Di tanya (g o f) (x)
-Komposisi Fungsi-
f(x) = 2x + 1
g(x) = 3x² - 3
(gof)(x) = g(f(x))
(gof)(x) = 3(f(x))² - 3
(gof)(x) = 3(2x + 1)² - 3
(gof)(x) = 3(4x² + 4x + 1) - 3
(gof)(x) = 12x² + 12x + 3 - 3
(gof)(x) = 12x² + 12x
Penjelasan dengan langkah-langkah:
(g o f)(x)
= g ((fx))
= g (2x + 1)
= 3(2x + 1)² – 3
= 3 (2x + 1) (2x + 1) – 3
= 3(4x² + 2x + 2x + 1) – 3
= 3(4x² + 4x + 1) – 3
= 12x² + 12x + 3 – 3
= 12x² + 12x
[answer.2.content]
