Matematika

Pertanyaan

Jawab no 8

Soal berupa lampiran
Jawab no 8 Soal berupa lampiran

1 Jawaban

  • f(x) = 1 / √x^2-1
    (fog)(x) = 1 / √x^2+6x+7
    f(g(x)) = 1 / √x^2+6x+7
    1 / √(g(x))^2-1 = 1 / √x^2+6x+7 kali silang
    √(g(x))^2-1 = √x^2+6x+7 kedua ruas dikuadratkan
    (g(x))^2 - 1 = x^2 + 6x + 7
    (g(x))^2 = x^2 + 6x + 8
    g(x) = √x^2 + 6x + 8
    g(x+2) = √(x+2)^2 + 6(x+2) + 8
    g(x+2) = √x^2 + 4x + 4 + 6x + 12 + 8
    g(x+2) = √x^2 + 10x + 25
    g(x+2) = √(x + 5)(x + 5) = x + 5