Diketahui fungsi f(x) = 2x, g(x) = , x² dan h(x) = 3 - x. tunjukkan bahwa (fo(goh)) (x) = ((fog)oh)(x) kalo di jawab aku beliin pulsa

Fungsi Komposisi
Kelas XI

f(x) = 2x
g(x) = x²
h(x) = 3 - x

• Untuk (f o (g o h))(x) :
(g o h)(x) = g(h(x))
= g(3 - x)
= (3 - x)²
= x² - 6x + 9

Maka :
f(x² - 6x + 9) = 2(x² - 6x + 9)
= 2x² - 12x + 18

• Untuk ((f o g) o h )(x)
(f o g)(x) = f(g(x))
= f(x²)
= 2x²

Maka :
(f o g o h)(x) = (f o g(h(x))
= (f o g(3 - x))
= 2(3 - x)²
= 2(x² - 6x + 9)
= 2x² - 12x + 18

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Kelas 10 Matematika
Bab Fungsi Komposisi

(fo(goh)) (x) = ((fog)oh) (x)

(goh) (x)
= g (3 - x)
= (3 - x)²
= 9 - 6x + x²

f (9 - 6x + x²)
= 2 (9 - 6x + x²)
= 18 - 12x + 2x²

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(f(g(x))
= f(x²)
= 2x²

((fog)oh) (x)
= 2 (3 - x)²
= 2 (9 - 6x + x²)
= 18 - 12x + 2x²

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