diketahui g(x-2)=2x+7 dan (hog) (x) =4x kuadrat+44x+1. Nilai h(10)
Matematika
Brigitta22
Pertanyaan
diketahui g(x-2)=2x+7 dan (hog) (x) =4x kuadrat+44x+1. Nilai h(10)
1 Jawaban
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1. Jawaban dedenkusnandar
Cari g(x).
g(x - 2) = 2x + 7
g(x) = 2(x + 2) + 7
g(x) = 2x + 4 + 7
g(x) = 2x + 11
(h o g)(x) = 4x² + 44x + 1
h(g(x)) = 4x² + 44x + 1
h (2x + 11) = 4x² + 44x + 1
h(10) ?
2x + 11 = 10
2x = -1
x = -½
h(10) = 4(-½)² + 44(-½) + 1 = 1 - 22 + 1 = -20