jika f(x)=x²+x-1 dan g(x)=x+1 maka (f o g)(x)=…

Bab Fungsi Komposisi
Matematika SMA Kelas X

(fog) (x) = f(x + 1)
(fog) (x) = (x + 1)² + x + 1 - 1
(fog) (x) = x² + 2x + 1 + x
(fog) (x) = x² + 3x + 1

(fog)(x)
=> f(g(x))
=> f(x + 1)
=> (x + 1)² + (x + 1) - 1
=> x² + 2x + 1 + x + 1 - 1
=> x² + 2x + x + 1
=> x² + 3x + 1