diketahui fungsi g(x)=3x+11 dan (gof)(x)=3x^2-6x+8 . nilai dari f(3) =....
Matematika
Azizprayogie
Pertanyaan
diketahui fungsi g(x)=3x+11 dan (gof)(x)=3x^2-6x+8 . nilai dari f(3) =....
1 Jawaban
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1. Jawaban 4LL
langsung aja y
(gof)(x) = g{f(x)}
3x² - 6x + 8 = 3f(x) + 11
3x² - 6x + 8 - 11 = 3f(x)
3(x² - 2x - 1) = 3f(x)
x² - 2x - 1 = f(x)
f(3) = 3² - 2(3) - 1
f(3) = 9 - 6 - 1
f(3) = 2
semoga berguna +_+