Matematika

Pertanyaan

f(×)=2×-7 g(×)=10-× ditanya fog(×) dan gof(×)

2 Jawaban

  • Bab Fungsi Komposisi
    Matematika SMA Kelas X

    (fog) (x) = f(10 - x)
    (fog) (x) = 2 (10 - x) - 7
    (fog) (x) = 20 - 2x - 7
    (fog) (x) = 13 - 2x

    (gof) (x) = g (2x - 7)
    (gof) (x) = 10 - 2x + 7
    (gof) (x) = 17 - 2x
  • f(x) = 2x - 7
    g(x) = 10 - x

    (fog)(x) = f{g(x)}
    = 2g(x) - 7
    = 2(10 - x) - 7
    = 20 - 2x - 7
    = 13 - 2x

    (gof)(x) = g{f(x)}
    = 10 - f(x)
    = 10 - (2x - 7)
    = 10 - 2x + 7
    = 17 - 2x

    Semoga berguna +_+

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