Jika f(x)=2-x, g(x)=x^2+1, dan h(x)=3x maka (h°g°f)(3)=
Matematika
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Pertanyaan
Jika f(x)=2-x, g(x)=x^2+1, dan h(x)=3x maka (h°g°f)(3)=
1 Jawaban
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1. Jawaban NInja1cak
cari (h°g) = 3(x^2 + 1)
= 3x^2 + 3
maka (h°g°f) = 3(2-x)^2 + 3
= 3(x^2 - 4x + 4) + 3
= 3x^2 - 12x + 12 + 3
= 3x^2 - 12x + 15
(h°g°f)(3) = 3 . 3^2 - 12 . 3 + 15
= 27 - 36 + 15
= 6