Diketahui(f°g)(x)=xkuadrat-2x+1 dan g(x)=x+1.rumus fungsi f(x)=

Langsung aja y

(fog)(x) = f{g(x)}
x² - 2x + 1 = f(x+1)

misal :
x + 1 = a
x = a - 1

f(a) = (a - 1)² - 2(a - 1) + 1
f(a) = a² - 2a + 1 - 2a + 2 + 1

f(x) = x² - 4x + 4

Semoga berguna +_+

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Komposisi dan fungsi invers

Pembahasan :
Fog(x) = x² - 2x + 1
F(g(x)) = x² - 2x + 1
F(x + 1) = x² - 2x + 1

Misal x + 1 = a
x = a - 1

F(a) = (a - 1)² - 2(a - 1) + 1
F(a) = a² - 2a + 1 - 2a + 3
F(a) = a² - 4a + 4
f(x) = x² - 4x + 4