f(x) =2+x g(x)=x²+1 h(x)=2x (fogoh)(x)=

Kelas 10 Matematika
Bab Fungsi Komposisi

(fogoh) (x)
= (fog) (2x)
= f((2x)² + 1)
= 2 + 4x² + 1
= 4x² + 3

↪f(x) =2+x
↪g(x)=x²+1
↪h(x)=2x

Ditanya :
↪(fogoh)(x)=

Jawaban :

g(h(x)) = g(2x)

g(h(x)) = (2x)² + 1

g(h(x)) = 4x² + 1


Maka, nilak (f o g o h)(x) adalah

(f o g o h) (x) = 2 + (4x² + 1)

(f o g o h) (x) = 2 + 4x² + 1

(f o g o h) (x) = 4x² + 3 ✔