Matematika

Pertanyaan

bang tolong jawapin
bang tolong jawapin

1 Jawaban

  • f(x) = 2x + p
    g(x) = 3x + 120
    diketahui f(g(x)) = g(f(x))

    maka
    2(3x + 120) + p = 3(2x + p) + 120
    6x + 240 + p = 6x + 3p + 120
    240 + p = 3p + 120
    4p = 120
    p = 30

    ------------------------------------------------------------------------------------------

    g(x) = x² - 1
    fog(x) = x⁴

    maka
    f(g(x)) = x⁴
    f(x² - 1) = x⁴
    misal
    y = x² - 1
    x² = y + 1
    x = √(y + 1)

    f(y) = [√(y + 1)]⁴
    f(y) = (y + 1)²
    f(y) = y² + 2y + 1

    f(4) = 4² + 2(4) + 1
    f(4) = 16 + 8 + 1
    f(4) = 25