Matematika

Pertanyaan

Tentukan f(x) c, jika diketahui (FoG) (x) = 4xkuadrat-8x+6 G(x) = xkuadrat-2x+3 Tentukan f(x) nyh! Bantu jawab ya... Yang benar...

1 Jawaban

  • f(g(x)) = 4x²-8x + 6
    f(x²-2x + 3) = 4x² - 8x + 6

    mis
    x² - 2x + 3 = a
    x² - 2x = a - 3
    x² - 2x + 1 = a - 3 + 1
    (x - 1)² = a - 2
    x - 1 = √(a -2)
    x = 1 + √(a - 2)

    f(a) = 4(1+√(a-2))² - 8(1+√(a-2)) + 6
    f(a) = 4 (1 + 2√(a-2) + a - 2) - 8 - 8√(a-2) + 6
    f(a) = 4(a - 1 + 2√(a-2)) - 8 - 8√(a-2) + 6
    f(a) = 4a - 4 + 8√(a - 2) - 8 - 8√(a -2) + 6
    f(a) = 4a - 6

    f(x) = 4x - 6

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