Matematika

Pertanyaan

tolong jawab nomor 13
tolong jawab nomor 13

2 Jawaban

  • (fog)(x)=x²-4x+10, g(x)=x-3
    f(g(x))=x²-4x+10
    f(x-3)=x²-4x+10
    misal : x-3 = p
                   x  = p+3 , p diganti x menjadi (x+3)
    f(x)=(x+3)²-4(x+3)+10
         =x²+6x+9-4x-12+10
         =x²+2x+7
  • (f o g)(x) = x^2 - 4x + 10
    f(g(x)) = x^2 - 4x + 10
    f(x - 3) = x^2 - 4x + 10
    Misal (x - 3) = a => x = a + 3
    f(a) = (a + 3)^2 - 4(a + 3) + 10
    f(a) = a^2 + 6a + 9 - 4a - 12 + 10
    f(a) = a^2 + 2a + 7
    f(x) = x^2 + 2x + 7

    ^ = pangkat