Matematika

Pertanyaan

Dik:
f(x)=X Pangkat 2-4x+2
g(x)=3x-7
Tentukan:
A.( g°f)(5)
B. (f°g)(10)

1 Jawaban

  • f(x) = [tex]x^{2}[/tex] - 4x + 2
    g(x) = 3x - 7
    (g°f)(x) = 3 × ([tex]x^{2}[/tex] - 4x + 2) - 7 = 3[tex]x^{2}[/tex] - 12x + 6 - 7 = 3[tex]x^{2}[/tex] - 12x - 1
    (g°f)(5) = 3 ([tex]5^{2}[/tex]) - 12(5) - 1 = 75 - 60 - 1 = 14

    (f°g)(x) = [tex](3x-7)^{2}[/tex] - 4(3x - 7) + 2 = 9[tex]x^{2}[/tex] - 42x + 49 - 12x + 28 + 2 = 9[tex]x^{2}[/tex] - 54x + 79
    (f°g)(10) = 9([tex]10^{2}[/tex]) - 54(10) + 79 = 900 - 540 + 79 = 439

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