Diketahui h(x) = 3x – 4, g(x) = x2-1, dan f(x) = 10x +9 fungsi komposisi (f°g°h)

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Diketahui h(x) = 3x – 4, g(x) = x2-1, dan f(x) = 10x +9 fungsi komposisi (f°g°h)

Jawaban Terkonfirmasi

H(x) = 3x – 4
g(x) = x² – 1
f(x) = 10x + 9

Penyelesaian:
fogoh(x) = f(g(h(x)))
fogoh(x) = f(g(3x-4))
fogoh(x) = f((3x-4)² – 1)
fogoh(x) = f(9x² – 24x + 16 – 1)
fogoh(x) = f(9x² – 24x + 15)
fogoh(x) = 10(9x²-24x+15) + 9
fogoh(x) = 90x²-240x+150+9
fogoh(x) = 9x² – 240x + 159