diketahui f(x) = x²-2x+3 g(x)x+2 h(x)=x-4 tentukan d.) F o (g o h)) (x)
Matematika
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Pertanyaan
diketahui f(x) = x²-2x+3 g(x)x+2 h(x)=x-4 tentukan d.) F o (g o h)) (x)
1 Jawaban
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1. Jawaban Sutr1sn0
f(x) = x^2 - 2x + 3
g(x) = x + 2
h(x) = x - 4
[f○(g○h)](x)
= [f○(g(h))(x)](x)
= [f○(g(x - 4))](x)
= [f○(x - 4 + 2)](x)
= [f○(x - 2)](x)
= (x - 2)^2 - 2(x - 2) + 3
= x^2 - 4x + 4 - 2x + 4 + 3
= x^2 - 6x + 11