Jika f(x) = x² + 3x – 7 dan g(x) = x – 2, nilai fungsi komposisi (f ∘ g)(–3) adalah….
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Jawaban:
Fungsi Komposisi =
f(x) = x² + 3x – 7
g(x) = x – 2
(f ° g)(x) = f(g(x))
(f ° g)(x) = f(x - 2)
maka :
=> x² + 3x - 7
=> (x - 2)² + 3(x - 2) - 7
=> x² - 4x + 4 + 3x - 6 - 7
=> x² - x - 9
(f ° g)(-3) = (-3)² - (-3) - 9
(f ° g)(-3) = 9 + 3 - 9
