Matematika

Pertanyaan

diketahui f(x) = 2x+5 dan g(x) = x-1/x+5
x tidak sama dengan -5
maka (fog)(x) = ?
diketahui f(x) = 2x+5 dan g(x) = x-1/x+5 x tidak sama dengan -5 maka (fog)(x) = ?

2 Jawaban

  • (fog)(x)= f(g(x)
    = 2(g(x)) + 5
    = 2( x - 1 / x + 5 ) + 5
    = 2(x-1) + 5(x+5) bagi x+5
    = 2x - 2 + 5x + 25 / x + 5
    = 7x + 23 / x + 5
  • Bab Fungsi Komposisi
    Matematika SMA Kelas X

    (fog) (x) = f((x - 1) / (x + 5))
    (fog) (x) = 2 ((x - 1) / (x + 5)) + 5
    (fog) (x) = (2x - 2 + 5x + 25) / (x + 5)
    (fog) (x) = (7x + 23) / (x + 5)

    jika g(x) = (x - 1)/(x + 4)

    (fog) (x) = f((x - 1) / (x + 4))
    (fog) (x) = (2x - 2 + 5x + 20)/(x + 4)
    (fog) (x) = (7x + 18) / (x + 4)