Matematika

Pertanyaan

semoga jasanya dibalas allah pakek jalan
semoga jasanya dibalas allah pakek jalan

1 Jawaban

  • nomot 1) jika f(x) = x +1 , maka f(x²) - 2f(x) =
    f(x²) - 2f(x)
    = x² + 1 - 2(x + 1)
    = x² - 2x - 2 + 1
    = x² - 2x - 1

    nomor 2) diketahui f(x) = 3x - 6 dan g(x) = 2x + a jika (f °g)(x) = (g°f)(x) , maka a =
    (f °g)(x) = (g°f)(x)
    f(g(x)) = g(f(x))
    3(2x + a) - 6 = 2(3x - 6) + a
    6x + 3a - 6 = 6x - 12 + a
    3a - 6 = -12 + a
    3a - a = -12 + 6
    2a = -6
    a = -6/2
    a = -3

    nomor 3) f(x) =√4x+2 dan g(x) = 2x² - 2 , maka (g ° f)(x) = 
    gof(x)
    = g(f(x))
    = 2(√4x+2)² - 2
    = 2(4x + 2) - 2
    = 8x + 4 - 2
    = 8x + 2

    nomor 4) fungsi f(x) dan dan g(x) didefinisikan dengan f(x)= x², g(x) = 1 - 2x dan (f ° g ) (a) = 25 , nilai a = 

    fog(a) = 25
    f(g(a)) = 25
    f(1 - 2a) = 25
    (1 - 2a)² = 25
    1 - 4a + 4a² = 25
    4a² - 4a - 24 = 0
    a² - a - 6 = 0
    (a + 2)(a - 3) = 0
    a = -2   atau    a = 3