Matematika

Pertanyaan

minta tolong dong master nim
minta tolong dong master nim

1 Jawaban

  • g(x) = x - 2
    g^-1 (x) = x + 2

    (fog)(x) = F(x) = 2x² - 8x - 11

    f(x) = F(g^-1 (x))
    f(x) = 2(x + 2)² - 8(x + 2) - 11
    f(x) = 2(x² + 4x + 4) - 8x - 16 - 11
    f(x) = 2x² - 19

    (fog)(3) = 2.3² - 8.3 - 11
    (fog)(3) = 18 - 24 - 11 = -17

    (fog)(a) = 5
    2a² - 8a - 11 = 5
    2a² - 8a - 16 = 0
    a² - 4a - 8 = 0 ---> rumus abc
    a1.2 = (4 ± 4√3)/2
    a1.2 = 2 ± 2√3

    Nilai a yg memenuhi :
    a = 2 + 2√3
    atau
    a = 2 - 2√3