Matematika

Pertanyaan

tentukan (gof)(x) dan (fog)(y)dari f(x)=g× -15 g(x)=3×+6

1 Jawaban

  • f(x) = (g(x)) - 15 (g(x))
    f(x) = -14 (g(x))
    f(x) / -14 = g(x)
    3x + 6 / -14 = g(x)

    (g o f)(x)
    = g (f(x))
    = 3(f(x)) + 6 / -14
    = 3(3x + 6) + 6 / -14
    = 9x + 18 + 6 / -14
    = 9x + 24 / -14

    (f o g)(y)
    = f(g(y))
    = 3(3y + 6 / -14) + 6
    = (9y + 18)/-14 + 6
    = (9y + 18)/-14 + (-84)/-14
    = (9y + 18 - 84)/-14
    = (9y - 66)/-14

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