Matematika

Pertanyaan

tolong bantu ya dengan caranya
tolong bantu ya dengan caranya

1 Jawaban

  • 36.
    f(x) = 2x - 4
    gof(x) = 4x²  - 24x + 32
    g(2x- 4) = 4x² - 24x + 32
    g(x) = 4 {(x+4)/2}² - 24 {(x+4)/2} + 32
    g(x)= (x+4)² - 12(x+4) + 32
    g(x)= x² + 8x + 16  - 12x - 48 + 32
    g(x) = x² - 4x

    37.
    f(x) = (2x-3)/(x+1)
    y = (2x - 3)/(x+1)
    2x - 3 = y(x+1)
    2x - 3 = xy + y
    2x - xy = y + 3
    x(2 - y) = y + 3
    x =(y+3)/(-y +2)

    f⁻¹ (x)= (x+3)/(-x+2)


    38.
    lim(x->∞)  √(5x-1)² - √(25x² + 5x -7)
    lim(x->∞) √(25x²-10x +1) - √(25x²+5x -7)
    a=p = 25
    b = -10
    q = 5

    limit = b- q / 2√a
    limit = (-10-5)/ (2√25)
    limit = -15/ 2(5)
    limit = -3/2