Matematika

Pertanyaan

diketahui f(x)= x+3 dan g(x)=3x²+ x-7.rumus (gof)(x)=

2 Jawaban

  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    (gof) (x) = g(x + 3)
    (gof) (x) = (x + 3)² + (x + 3) - 7
    (gof) (x) = x² + 6x + 9 + x + 3 - 7
    (gof) (x) = x² + 7x + 5
  • f(x) = x + 3
    g(x) = 3x² + x - 7

    gof(x)
    = g(f(x))
    = g(x + 3)
    (x + 3)² + (x + 3) - 7
    = (x² + 6x + 9) + x - 4
    = x² + 7x + 5

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