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Matematika
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Pertanyaan
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1 Jawaban
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1. Jawaban hendrisyafa
1 a) gof (x) = g (f(x))
= (f(x)) ²
= (3x+1)²
= 9x²+6x+1
b) fog (x) = f (g(x))
= 3g(x)+1
= 3x²+1
2) g(x) = x-3
y = x-3
x = y+3
g'(x) = x+3
fog (x) = f (g(x)) = 2x+5
f(x) = 2g'(x)+5
= 2 (x+3) + 5
= 2x+6+5
= 2x+11
3) f(x) = 5x+1
y = 5x+1
5x = y-1
x = y-1 / 5
f'(x) = x-1 / 5
4) L = 6x²/x² - 4x/x² - 8/x²
-------------------------
x²/x² - 3/x²
= 6/1
= 6