Matematika

Pertanyaan

Tolong nomor 9 dan 16 beserta caranya
Tolong nomor 9 dan 16 beserta caranya

1 Jawaban

  • 9) h(x) = x - 4 => h(3) = 3 - 4 = -1
    g(x) = x + 6 => g(-1) = -1 + 6 = 5
    f(x) = 5 - 2x => f(5) = 5 - 2(5) = -5
    Definisi invers : f(x) = y => f^-1(y) = x

    (f o g o h)^-1(x) = 3 => (f o g o h)(3) = x
    => x = (f o g)(h(3)) = (f o g)(-1) = f(g(-1)) = f(5) = -5

    16) f(x) = x - 2
    f(2x) + 2f(x)
    = (2x) - 2 + 2(x - 2)
    = 2x - 2 + 2x - 4
    = 4x - 6