Jika f(x)= 2x-1 dan (g•f)(x)= 4xpangkat2-2x maka g(x)=....

Mapel Matematika
Bab Komposisi Fungsi

Misalkan,
2x - 1 = a
2x = a + 1
x = (a + 1)/2

Maka,
(gof)(x) = g(f(x))
4x² - 2x = g(2x - 1)
4((a+1)/2)² - 2(a+1)/2 = g(a)
4(a² + 2a + 1)/4 - (a + 1) = g(a)
a² + a = g(a)

x² + x = g(x)