Matematika

Pertanyaan

1. Diket fungsi f(x)= x²+3x-4 dan (f+g)(x)= x²+x+2. Nilai g(x)=......
2. Diket fungsi f(x)=x-2 dan g(x)= x²+3x-4. Hasil dari (gof)(-1)=.......

1 Jawaban

  • 1) (f + g) (x) = f(x) + g(x)
    g(x) = (f + g) (x) - f(x)
    g(x) = x² + x + 2 - (x² + 3x - 4)
    g(x) = x² - x² + x - 3x + 2 + 4
    g(x) = -2x + 6

    2) (g o f) (x) = g (f(x))
    (g o f) (x) = (x - 2)² + 3(x - 2) - 4
    (g o f) (x) = x² - 4x + 4 + 3x - 6 - 4
    (g o f) (x) = x² - x - 6

    (g o f) (-1) = (-1)² - (-1) - 6
    (g o f) (-1) = 1 + 1 - 6
    (g o f) (-1) = -4

Pertanyaan Lainnya