jika g(x) = x+3 dan (f 0 g)(x) = x2 -4 maka f(x-2)=
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Pertanyaan
jika g(x) = x+3 dan (f 0 g)(x) = x2 -4 maka f(x-2)=
1 Jawaban
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1. Jawaban prianandalbs
g(x) = x+3
misal g(x) = t
t = x+3
x = t - 3
f(g(x)) = x² - 4
f(t) = (t-3)² - 4
f(t) = t² - 6t + 9 - 4
f(t) = t² - 6t + 5
f(x) = x² - 6x + 5
f(x-2) = (x-2)² - 6(x-2) + 5
f(x-2) = x² - 4x + 4 - 6x + 12 + 5
f(x-2) = x² - 10x + 21