Matematika

Pertanyaan

diketahui f(x)=x2+3x-1, g(x)=2x+5,dan h(x)=1-x. rumus komposisi fungsi ( g o f o h ) (x)=

1 Jawaban

  • f(x) = x² + 3x - 1
    h(x) = 1 - x

    (foh)(x)
    = (1 - x)² + 3(1 - x) - 1
    = 1 - 2x + x² + 3 - 3x - 1
    = x² - 5x + 3

    g(x) = 2x + 5

    (gofoh)(x)
    = g((foh)(x))
    = g(x² - 5x + 3
    = 2(x² - 5x + 3) + 5
    = 2x² - 10x + 6 + 5
    = 2x² - 10x + 11

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