Matematika

Pertanyaan

Diketahui f (x)=xkuadrat +5x-3 dan (f-g)(x)=3x+1 tentukan
A.g(x)
b.f(-1) dan g (-1)

1 Jawaban

  • f(x) = x²+5x-3
    (f-g)(x) = 3x + 1
    f(x) - g(x) = 3x + 1
    (x²+5x-3) - g(x) = (3x+1)
    (x²+5x-3) - (3x+1) = g(x)
    x² + 5x - 3x - 3 - 1 = g(x)
    g(x) = x² - 2x - 4

    b. f(-1) = (-1)² + 5(-1) - 3
    = 1 -5 - 3
    = -7

    g(-1) = (-1)² - 2(-1) - 4
    = 1 + 2 - 4
    = -1

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