Matematika

Pertanyaan

Please jawab

Tentukan nilai mutlak dari
|2x-3| = 4

Dan

Log 2 = a
Log 3 = b Jawab Log 30 =
Log 5 = c

Dan

f(x) = 2x + 15
g(x) = -2x²- 15
(fog)(x) =

1 Jawaban

  • |2x - 3| = 4
    akar (2x - 3)² = 4
    (2x - 3)² = 4²
    [(2x - 3) + 4] [(2x - 3) - 4] = 0
    (2x + 1) (2x -7) = 0
    2x = -1
    x = -½
    atau
    2x = 7
    x = 3½

    log2 = a
    log3 = b
    log5 = c
    log 30
    = log(2.3.5)
    = log 2 + log 3 + log 5
    = a + b + c

    f(x) = 2x + 15
    g(x) = -2x² - 15
    (fog) (x)
    = f(g(x))
    = f (-2x² - 15)
    = 2 (-2x² - 15) + 15
    = -4x² - 30 + 15
    = -4x² - 15

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