Question

Jika f(x) = x² + 3x – 7 dan g(x) = x – 2, nilai fungsi komposisi (f ∘ g)(–3) adalah….​

Answer 1

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

(f ° g)(-3) = 3