Matematika

Pertanyaan

diketahui f ( X ) = 3x²- 2x - 1 dan g ( X ) =
[tex] \sqrt{x} - 3.nilai {f o g }{ 16 }[/tex]
=

2 Jawaban

  • f(x)=3x^2-2x-1
    g(x)=√x-3

    fog(x)=3(√x-3)^2-2(√x-3)-1
    =3(x-6√x+9)-2√x-6-1
    =3x-18√x+27-2√x-7
    =3x-20√x+20

    fog(16)=3(16)-20(√16)+20
    =48-20(4)+20
    =68-80
    =-12
  • f(x) = 3x² - 2x - 1
    g(x) = √x - 3

    (f o g)(16)
    = f(g(16)) ==> g(16) = √16 - 3 = 4 - 3 = 1
    = f(1)
    = 3(1)² - 2(1) - 1
    = 3 - 2 - 1
    = 0

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