tolong ya menentukan fungsi komposisi
Matematika
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Pertanyaan
tolong ya menentukan fungsi komposisi
1 Jawaban
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1. Jawaban dnnyz07
f(x) = 5x^2 + 3x - 1
g(x) = x + 1
Dit. (fog)(x)
(fog)(x)
= f(g(x))
f(x + 1) = 5 . (x + 1)^2 + 3(x + 1) - 1
(x + 1)^2
= (x + 1)(x + 1)
= x^2 + x + x + 1
= x^2 + 2x + 1
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= 5(x^2 + 2x + 1) + 3(x + 1) - 1
= 5x^2 + 10x + 5 + 3x + 3 - 1
= 5x^2 + 13x + 7
Pilihan D