jika f(x)=3x-2 dan (fog)(x)=3x^2-5 maka g(1/2) adalH
Matematika
aitiaesviatimanu
Pertanyaan
jika f(x)=3x-2 dan (fog)(x)=3x^2-5 maka g(1/2) adalH
1 Jawaban
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1. Jawaban andhikahanif
mencari g(x)
(f o g)(x) = 3x² - 5
f(g(x)) = 3x² - 5
3(g(x)) - 2 = 3x² - 5
3(g(x)) = 3x² - 5 + 2
3(g(x)) = 3x² -3
g(x) = (3x² - 3) / 3
g(x) = x² - 1
mencari g(1/2)
g(1/2) = (1/2)² - 1
g(1/2) = 1/4 - 4/4
g(1/2) = - 3/4