Matematika

Pertanyaan

Dik: f(x) = x² -2x - 3, g (x) = x + 1
dan h(x) = 3 - 2x (utk soal 1-5)

1. (g+h) (x)=
2. (f+g)(x)=
3. (f-h)(x)=
4. (g.h)(x)=
5. ( \frac{f}{g} ) (x) =

1 Jawaban

  • Diketahui : 
    f(x) = x² - 2x - 3
    g(x) = x + 1
    h(x) = 3 - 2x

    Nomor 1
    ------------
    (g + h)(x) = g(x) + h(x)
    = (x + 1) + (3 - 2x)
    = 4 - x

    Nomor 2
    -------------
    (f + g)(x) = f(x) + g(x)
    = (
    x² - 2x - 3) + (x + 1)
    = x² - x - 2

    Nomor 3
    -------------
    (f - h)(x) = f(x) - h(x)
    (x² - 2x - 3) - (3 - 2x)
    = x² - 6

    Nomor 4
    -------------
    (g.h)(x) = g(x) . h(x)
    (x + 1).(3 - 2x)
    = 3x + 3 - 2x² - 2x
    = - 2x² + x + 3

    Nomor 5
    ------------
    (f/g)(x) = f(x) / g(x)
    = (x² - 2x - 3) / (x + 1)
    = (x - 3).(x + 1) / (x + 1)
    = (x - 3) 

    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    )|(
    FZA

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