Matematika

Pertanyaan

(F○g)(×)=10×-8 dan g(×)=2×+4 maka f-1(×)

2 Jawaban

  • 8(f o g) (x) = 10x - 8
    f(g(x) ) = 10x - 8
    f (2x + 4) = 10x - 8

    misal p = 2x + 4 maka x = (p - 4) / 2

    f(p) = (10(p - 4) / 2) - 8
    f(p) = 5(p - 4) - 8
    f(p) = 5p - 20 - 8
    f(p) = 5p - 28
    f(x) = 5x - 28

    untuk invers
    f(x) = y
    y = 5x - 28
    x = (y + 28) / 5
    f(x)-¹ = x
    f(x)-¹ = (x + 28) / 5
  • Bab Fungsi Komposisi
    Matematika SMA Kelas X

    (fog) (x) = 10x - 8
    f(2x + 4) = 5 (2x + 4) - 28
    f(x) = 5x - 28

    f(x) = 5x - 28
    y = 5x - 28
    5x = y + 28
    x = (y + 28)/5
    f^(-1) (x) = (x + 28)/5

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