Matematika

Pertanyaan

diketahui f(x)=8x2+2x+3 g(x)=x+1 tentukan fogx dan gof2

2 Jawaban

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    Gambar lampiran jawaban fahreza991
  • Materi : Fungsi Komposisi
    Kelas : XI - SMA K.13 ( WAJIB )


    f(x) = 8x^2 + 2x + 3
    g(x) = x + 1

    f o g (x) = f(g(x))
    f o g (x) = 8(x + 1)^2 + 2(x + 1) + 3
    f o g (x) = 8(x^2 + 2x + 1) + 2x + 2 + 3
    f o g (x) = 8x^2 + 16x + 8 + 2x + 5
    f o g (x) = 8x^2 + 18x + 13

    g o f (x) = g(f(x))
    g o f (x) = (8x^2 + 2x + 3) + 1
    g o f (x) = 8x^2 + 2x + 4

    g o f (2) = 8(2)^2 + 2(2) + 4
    g o f (2) = 8(4) + 4 + 4
    g o f (2) = 32 + 8
    g o f (2) = 40

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