Matematika

Pertanyaan

Tolong bantu kerjain dong kak:( Nomor berapapun
Tolong bantu kerjain dong kak:(  Nomor berapapun

1 Jawaban

  • 2. komposisi fungsi
    f(x) = x - 3
    fog(x)= f (g(x))
    f(2x+6) = 2x+ 6 - 3
    fog(x) = 2x + 3

    3. limit
    lim(x->∞) √(9x² +1) - √(3x-2)²
    lim(x->∞)  √(9x² +1) - √(9x² -12x + 4)
    a= 9, b= 0, c = 1
    p = 9 , q = -12, r = 4

    a= p
    limit = (b-q)/ 2√a = (0 - (-12)) / 2√9
    limit = 12/ 2(3) = 12/6 = 2

    4. y = (3x-1)(2 +x)
    u  = 3x -1 --> u' = 3
    v = 2 + x --> v' = 1
    y' = u'v + uv'
    y'= (3)(2+x) + (3x-1)(1)
    y' = 6 + 3x + 3x - 1
    y' = 6x + 5