Matematika

Pertanyaan

1. Jika f(×) = 2x - 1 maka f (3x kuadrat) + f(x) =

2. Diketahui f(x) = 2× - 3 dan g(x) = 4x - a
Bila (fog)(x) = (gof)(x) maka a?

1 Jawaban

  • 1. f ( 3x²) + f(x)
    = 3(2x-1)² + 2x-1
    = 3(4x²-4x+1) + 2x-1
    = 12x² - 12x + 1 + 2x - 1
    = 12x² - 10x

    2. (fog) (x) = (gof( (x)
    f (g(x)). = g (f(x))
    f (4x - a). = g (2x - 3)
    2(4x-a) -3. = 4 (2x-3) - a
    8x - 2a - 3 = 8x - 12 - a
    8x - 2a - 3 - 8x + 12 + a = 0
    -2a + a - 3 + 12 = 0
    -a + 9 = 0
    -a = -9
    a = 9

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