Question

Diberikan fungsi f(x) = x+1 dan g(2x-1)=4x(x-1).rumus fungsi (fog)(x)=....

Answer 1

Verified answer

Kelas 10 Matematika
Bab Fungsi Komposisi

g(2x - 1) = 4x (x - 1)
g(2x - 1) = 4x² - 4x
g(2 . x/2 - 1) = 4 (x/2)² - 4 . x/2
g(x - 1) = 4 . x²/4 - 2x
g(x + 1 - 1) = (x + 1)² - 2 (x + 1)
g(x) = x² + 2x + 1 - 2x - 1
g(x) = x²

(fog) (x) = f(x²)
(fog) (x) = x² + 1