Matematika

Pertanyaan

tentukan (fog)(2) dan (gof) untuk fungsi f(x)=4x+1dan g(x)=3x-5

2 Jawaban

  • 1.fog = f(g(x))
    =f(3x-5)
    =4(3x-5)+1
    =12x-20+1
    =12x-19
    fog(2)=12(2)-19
    =5
    2.gof = g(f(x))
    =g(4x+1)
    =3(4x+1)-5
    =12x+3-5
    =12x-2
  • f(x) = 4x + 1
    g(x) = 3x - 5

    (f • g)(x) = 4(3x - 5) + 1
    (f • g)(x) = 12x - 20 + 1
    (f • g)(x) = 12x - 19
    (f • g)(2) = 12(2) - 19
    (f • g)(2) = 24 - 19
    (f • g)(2) = 5

    (g • f)(x) = 3(4x + 1) - 5
    (g • f)(x) = 12x + 3 - 5
    (g • f)(x) = 12x - 2

Pertanyaan Lainnya