Jika diketahui f(x) = 2x2 - 3x - 12 dan g(x) = 3X + 8, nilai dari (g ◦ f)(-2) adalah …
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Penjelasan dengan langkah-langkah:
FUNGSI KOMPOSISI
f(x) = 2x² – 3x – 12
g(x) = 3x + 8
(g o f)(x) = 3(2x² – 3x – 12) + 8
(g o f)(x) = 6x² – 9x – 36 + 8
(g o f)(x) = 6x² – 9x – 28
(g o f)(x) = 3x(2x – 3) – 28
(g o f)(–2) = 3×(–2)(2×(–2) – 3) – 28
(g o f)(–2) = –6(–4 – 3) – 28
(g o f)(–2) = –6(–7) – 28
(g o f)(–2) = 42 – 28
(g o f)(–2) = 14 ✔
f (x) = 2x² - 3x - 12
g (x) = 3x + 8
maka,
(g o f) (-2)
= 3 [2(-2)² - 3(-2) - 12] + 8
= 3 (8 + 6 - 12) + 8
= 3 (2) + 8
= 6 + 8
= 14
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