Matematika

Pertanyaan

dik f(x)=2x +5 dan g(x)= x-1/x+4.jika (fog) (a) =5,maka tentuka a
dik f(x)=2x +5 dan g(x)= x-1/x+4.jika (fog) (a) =5,maka tentuka a

2 Jawaban

  • f(x)=2x +5
    g(x)= x-1/x+4

    (f ○ g)(x)= 2(x-1/x+4) + 5
    = [2x-2/x-4] +5
    (f ○ g)(a)= 5
    = [2a-2/a-4] +5= 5
    = [2a-2/a-4] =0
    = a= 1
  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    (fog) (a) = 5
    f((a - 1)/(a + 4)) = 5
    2 (a - 1)/(a + 4) + 5 = 5
    2 (a - 1)/(a + 4) = 5 - 5
    2 (a - 1) = 0
    a - 1 = 0
    a = 1