Matematika

Pertanyaan

Tolong di jawab ya pake cara
Terimakasih
Tolong di jawab ya pake cara Terimakasih

1 Jawaban

  • 2. (f o g) (x) = 4x + 6
    f (g(x)) = 4x + 6
    2 g(x) - 4 = 4x + 6
    2 g(x) = 4x + 10
    g(x) = (4x + 10) / 2
    g(x) =2x + 5

    3. (g o f) (x) = (x + 3)^2
    g (f(x)) = (x + 3)^2
    g (x -3) = x^2 + 6x + 9
    Misal x - 3 = y ==> x = y + 3
    g (y) = (y + 3)^2 + 6 (y + 3) + 9
    = y^2 + 6y + 9 + 6y + 18 + 9
    = y^2 + 12 y + 36
    g (x) = x^2 + 12 x + 36
    g (-2) = (-2)^2 + 12 (-2) + 36
    = 4 - 24 + 36
    = 16