jika f(x) = x^2 + 4x - 3, g(x) = x - 2 dan h(x) = 3x - 1, tentukan nilai ( hofog) (x)

Mapel : Matematika

Kelas : X

Bab : Relasi dan Fungsi
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→ f(x) = x² + 4x - 3

→g(x) = x - 2

→ h(x) = 3x - 1


Ditanya :

→ (h o f o g) (x)

Jawaban :
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(f o g) (x) = f(x - 2)

(f o g) (x) = (x - 2)² + 4(x - 2) - 3

(f o g) (x) = x² - 4x + 4 + 4x - 8 - 3

(f o g) (x) = x² - 7


Maka :

(h o f o g) (x) = h(x² - 7)

(h o f o g) (x) = 3(x² - 7) - 1

(h o f o g) (x) = 3x² - 21 - 1

(h o f o g) (x) = 3x² - 22