Matematika

Pertanyaan

Diketahui f(x) = x + 3 ,g(x) = 2 x pangkat 2 -x Carilah = a) gof(x)
b)fog(x)
c)fog(6)

1 Jawaban

  • f(x) = x + 3
    g(x) = 2x² -x

    a) gof(x) = g(f(x))
    . gof(x) = 2(f(x))² - f(x)
    . gof(x) = 2(x+3)² - (x+3)
    . gof(x) = 2(x²+6x+9) - (x+3)
    . gof(x) = 2x²+12x+18 -x-3
    . gof(x) = 2x²+12x-x+18-3
    . gof(x) = 2x²+11x+15

    b) fog(x) = f(g(x))
    . fog(x) = g(x) + 3
    . fog(x) = 2x² -x + 3

    c) fog(6) = 2x² -x + 3
    . fog(6) = 2(6)² -(6) + 3
    . fog(6) = 2(36) -(6) + 3
    . fog(6) = 72 - 6 + 3
    . fog(6) = 69

    semoga membantu

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