Matematika

Pertanyaan

diketahui f(x) = x + 2 dan g(x) = x2 - 3x - 2 . fungsi (g • f)(x) =

2 Jawaban

  • GoF (x) = G(x) o F(x)

    GoF (x) = (x+2)^2 - 3(x+2) - 2
    = x^2 + 4x + 4 - 3x + 6 - 2
    = x^2 + x + 8
  • f(x) = x + 2, g(x) = x^2 - 3x - 2
    (g o f)(x) = g(f(x))
    = g(x + 2)
    = (x + 2)^2 - 3(x + 2) - 2
    = x^2 + 4x + 4 - 3x - 6 - 2
    = x^2 + x - 4

    ^ = pangkat

Pertanyaan Lainnya