Matematika

Pertanyaan

yang bisa tolong jawab pertanyaan ini :)
yang bisa tolong jawab pertanyaan ini :)

1 Jawaban

  • [1] ((f o g) o h)(x)= (f(g(x) o h)(x)
    Cari dlu f(g(x)
    f(g(x))=f(3 - x)
    =>2(3 - x) + 1
    =>7 - 2x

    Misal f(g(x)) = a(x)
    (a o h)(x) = a(h(x))
    =>a(x² + 2)
    =>7 - 2(x² + 2)
    =>3 - 2x²

    [2] (f o (g o h))(x) = (f o g(h(x))
    Cari g(h(x))
    g(h(x)) = g(x² + 2)
    =>3 - (x² + 2)
    =>3 - x² - 2
    =>1 - x²

    Misal g(h(x)) = a(x)
    (f o a)(x) = f(a(x))
    =>f(1 - x²)
    =>2(1 - x²) + 1
    =>3 - 2x²

    >TERBUKTI<