jika diketahui f(x) = 2x-3 dan (gof)(x)= 4x^2-16x+18 makan g(x)=
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jika diketahui f(x) = 2x-3 dan (gof)(x)= 4x^2-16x+18 makan g(x)=
1 Jawaban
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1. Jawaban hendrisyafa
gof = 4x²-16+18
fx = 2x-3
y = 2x-3
2x = y+3
x = y+3 / 2
f'x = x+3 / 2
g(fx) = 4x²-16x+18
gx = 4f'x²-16f'x+18
= 4(x+3/ 2)²-16(x+3 /2)+18
= (x+3)²-8(x+3)+18
= x²+6x+9-8x-24+18
= x²-2x+3