Matematika

Pertanyaan

Di ketahui
F(x) = 3x -2
G(x) = 2x/x-3

Di tanya
(fog) (2)

2 Jawaban

  • f(x) = 3x - 2
    g(x) = 2x/(x - 3)

    (fog)(x) = f(g(x))
    [tex] = 3g(x) - 2 \\ = 3(\frac{2x}{x-3}) - 2 \\ = \frac{6x}{x-3} - 2 \\ = \frac{6x}{x-3} - \frac{2(x-3)}{x-3} \\ = \frac{6x-2x+6}{x-3} \\ = \frac{4x+6}{x-3} [/tex]
  • Mapel : Matematika
    Materi : Fungsi Komposisi

    F(x) = 3x - 2
    g(x) = 2x / x - 3

    f o g (x) = 3(2x / x - 3) - 2
    f o g (x) = (6x / x - 3 ) - 2

    Bisa disederhanakan Lagi !

    Langsung aja !
    》f o g (2) = (6(2) / 2 - 3) - 2
    》f o g (2) = (12 / -1 ) - 2
    》f o g (2) = -12 - 2
    》f o g (2) = -14

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