Matematika

Pertanyaan

tolong dong pake jalan yah
tolong dong pake jalan yah

2 Jawaban

  • 5. (fog)(a)=6(5x+4)-3=81
                    =30x+21=81
                    =x=81-21/30
                    =x=2 (D)
  • 4) (g o f)(x) = g(f(x))
    = g(√(x^2 - 1))
    = 3(√(x^2 - 1))^2 - 1
    = 3(x^2 - 1) - 1
    = 3x^2 - 3 - 1
    = 3x^2 - 4

    5) (f o g)(a) = 81
    f(g(a)) = 81
    6g(a) - 3 = 81
    6g(a) = 84
    g(a) = 14
    5a + 4 = 14
    5a = 10
    a = 2

    6) (f o g)(x) = f(g(x))
    = (g(x) + 4)/(g(x) - 6)
    = (2x - 1 + 4)/(2x - 1 - 6)
    = (2x + 3)/(2x - 7)
    (2x + 3)/(2x - 7) = y
    2xy - 7y = 2x + 3
    2xy - 2x = 7y + 3
    x(2y - 2) = 7y + 3
    x = (7y + 3)/(2y - 2)
    (f o g)^-1(x) = (7x + 3)/(2x - 2) ; x ≠ 1