Matematika

Pertanyaan

f(x) = 2x^ + 3x - 5 dan g (x) = 3x-2 agar (gof ) (a) = -11 maka nilai a

1 Jawaban

  • f(x) = 2x² + 3x - 5
    g(x) = 3x - 2

    (gof)(x) = g(f(x))
    = 3(f(x)) - 2
    = 3(2x² + 3x - 5) - 2
    = 6x² + 9x - 17

    (gof)(a) = -11
    6a² + 9a - 17 = -11
    6a² + 9a - 6 = 0
    2a² + 3a - 2 = 0
    (2a - 1)(a + 2) = 0

    a = 1/2
    atau
    a = -2

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