Diketahui f(×)=2×-1 dan g(×)=×2+3×-6= Maka gof(-3)=

Mapel : Matematika

Kelas : 10

Bab : Fungsi Komposisi

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→ f(x) = 2x – 1

→ g(x) = x² + 3x – 6

Ditanya :

→ (g o f) (-3)

Jawaban :
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(g o f) (x) = g(2x – 1)

(g o f) (x) = (2x – 1)² + 3(2x – 1) – 6

(g o f) (x) = 4x² – 4x + 1 + 6x – 3 – 6

(g o f) (x) = 4x² + 2x – 8

Maka, nilai (g o f) (-3) adalah :

= 4(-3)² – 2(-3) – 8

= 36 + 6 – 8

= 36 ✔