Matematika

Pertanyaan

dik: f(x) = 3x - 3, g(x) = 4x + 7, dan h(x) = 2 - 8x (utk soal 14-18)

14. (fog)(x)=
15. (goh)(x)=
16. (hof)(X)=
17. (fogoh)(x)=
18. (gof)(3)=

1 Jawaban

  • ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    Diketahui :
    f(x) = 3x - 3
    g(x) = 4x + 7
    h(x) = 2 - 8x

    Nomor 14
    -------------
    (fog)(x) = f(g(x))
    = 3.(4x + 7) - 3
    = 12x + 21 - 3
    = 12x + 18

    Nomor 15
    -------------
    (goh)(x) = g(h(x))
    = 4.(2 - 8x) + 7
    = 8 - 32x + 7
    = 15 - 32x

    Nomor 16
    -------------
    (hof)(x) = h(f(x))
    = 2 - 8.(3x - 3)
    = 2 - 24x + 24
    = 26 - 24x

    Nomor 17
    --------------
    (fogoh)(x) = f(g(h(x)))
    = 3.(15 - 32x) - 3
    = 45 - 96x - 3
    = 42 - 96x

    Nomor 18
    --------------
    (gof)(x) = g(f(x))
    = 4.(3x - 3) + 7
    = 12x - 12 + 7
    = 12x - 5

    maka :
     (gof)(3) = g(f(3))
    = 12.(3) - 5
    = 36 - 5
    = 31

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    )|(
    FZA

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