Matematika

Pertanyaan

f(x)=2x²+x,g(x)=3x-4,h(x)=2x-4/-4-x Tentukan:(g°f°h)(-2) ? tolong jawab yang jelas

1 Jawaban

  • f(x)=2x²+ x
    g(x)=3x-4
    h(x)=2x-4/-4-x

    (f o h) = 2(2x - 4/-4 -x)² + (2x - 4/-4 -x)
    (f o h) = 2(4x² - 16x + 16/4 + 8x + x²) + (2x - 4/-4 -x)
    (f o g) = (8x² - 32x + 32/4 + 8x + x²) + (2x - 4/-4 -x)
    (f o h) = (8/1x² - 32/8x + 32/4) + (2x - 4/-4 -x)
    (f o h) = (8x² - 4x + 8) + (2x - 4/-4 -x)
    (f o h) = (8x² - 4x + 8)(-4 -x) + (2x - 4) / (-4 -x)
    (f o h) = (-32x² - 8x³ + 16x + 4x² - 32 - 8x) + (2x - 4) / (-4 -x)
    (f o h) = (-32x² + 4x² - 8x³ + 16x - 8x + 2x - 32 - 4) / (-4 -x)
    (f o h) = -8x³ - 28x² + 10x - 36
    (g o f o h) = 3x - 4
    (g o f o h) = 3(-8x³ - 28x² + 10x - 36) - 4
    (g o f o h) = -24x³ - 56x² + 30x -102 - 4

    (g o f o h) = -24x³ - 56x² + 30x - 106
    (g o f o h) = -12x³ - 28x² + 15x - 53

    (g o f o h)(-2) = -12(-2³) - 28(-2²) + 15(-2) - 53
    (g o f o h)(-2) = -12(-8) - 28(4) + 15(-2) - 53
    (g o f o h)(-2) = 96 + 58 - 30 - 53
    (g o f o h)(-2) = 71

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