1.jika f(x)=2x+1 dan (gof)(x)=12x^2+12x+1, maka g(x).... 2.jika g(x)=3x-5 dan (gof)(x)=3x^2+9x-5, maka f(x).... 3.jika g(x)=x^2+x-1 dan (gof)(x)= x^2+5x+5, maka
Matematika
FikaAyu
Pertanyaan
1.jika f(x)=2x+1 dan (gof)(x)=12x^2+12x+1, maka g(x)....
2.jika g(x)=3x-5 dan (gof)(x)=3x^2+9x-5, maka f(x)....
3.jika g(x)=x^2+x-1 dan (gof)(x)= x^2+5x+5, maka f(x)=....
x^2= x pangkat 2(dua)
2.jika g(x)=3x-5 dan (gof)(x)=3x^2+9x-5, maka f(x)....
3.jika g(x)=x^2+x-1 dan (gof)(x)= x^2+5x+5, maka f(x)=....
x^2= x pangkat 2(dua)
2 Jawaban
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1. Jawaban atikafril
(gof) (x) = g (f (x) ) = 12x² + 12 + 1
= g ( 2x + 1)= 12x² + 12x +1
= 12 ( 2x + 1)² +12 ( 2x+1)
= 12 ( 4x² +4x+1) + 24x+1
= 48x² + 48x + 12 + 24x +1
48x² + 72x + 1
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2. Jawaban Yeyemimi
1. (g o f) (x) = g(f(x)) = 12x² + 12x + 1
g(2x+1) = 12x² + 12x +1
misal f(x) = p
2x + 1 = p
2x = p - 1
x = p - 1
2
g(p) = 12(p-1)² + 12 (p-1) +1
2 2
= 12 (p² - 2p + 1) + 6 (p - 1) +1
4
= 3p² - 6p + 3 + 6p - 6 + 1
= 3p² - 2 ⇒ 3x² - 2
jadi, g(x) = 3x² - 2