Matematika

Pertanyaan

tolong dong kerjakan no 10 sama 11
tolong dong kerjakan no 10 sama 11

1 Jawaban

  • 10][
    f(x) = √x
    (fof)(x) = √√x = (x^1/2)^1/2 = x^1/4

    g(x) = x² + 1

    (gofof)(x)
    = g((fof)(x))
    = g(x^1/4)
    = (x^1/4)^2 + 1
    = x^1/2 + 1
    = √x + 1

    11][
    f(x) = 3/(2x - 1)

    (fog)(x) = (3x + 3)/(x - 1)
    3/(2 g(x) - 1) = 3(x + 1)/(x - 1)
    1/(2 g(x) - 1) = (x + 1)/(x - 1)
    Kali silang
    x - 1 = (2 g(x) - 1)(x + 1)
    x - 1 = 2x . g(x) - x + 2 g(x) - 1
    x + x = (2x + 2) g(x)
    g(x) = 2x/(2x + 2)
    g(x) = x/(x + 1)