Jika f(x)= x^2 dan (f o g) (x) = x^2- 2x+1 maka g(3)=…
Matematika
erikakurnia
Pertanyaan
Jika f(x)= x^2 dan (f o g) (x) = x^2- 2x+1 maka g(3)=…
1 Jawaban
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1. Jawaban newwiguna
f(x) = x²
(f o g)(x) = x² - 2x + 1
(f o g)(x) = f(g(x))
(f o g)(x) = (g(x))²
x² - 2x + 1 = (g(x))²
(x - 1)² = (g(x))²
g(x) = (x - 1)
g(3) = 3 - 1
g(3) = 2