Matematika

Pertanyaan

Please help me, kok ada huruf g disitu
Please help me, kok ada huruf g disitu

1 Jawaban

  • Sepertinya itu salah ketik bukan g tetapi 9
    (f o g)(x) = 9x^2 - 6x + 1
    f(g(x)) = 9x^2 - 6x + 1
    f(3x - 2) = 9x^2 - 6x + 1
    Misal
    3x - 2 = a => 3x = a + 2 => x = (a + 2)/3
    f(a) = 9((a + 2)/3)^2 - 6(a + 2)/3 + 1
    f(2) = 9((2 + 2)/3)^2 - 6(2 + 2)/3 + 1
    f(2) = 9(4/3)^2 - 6 (4/3) + 1
    f(2) = 9 (16/9) - 8 + 1
    f(2) = 16 - 8 + 1 = 9

    g(x) = 3x - 2
    g(2) = 3(2) - 2 = 4

    (f - g)(2) = f(2) - g(2) = 9 - 4 = 5