Matematika

Pertanyaan

tolong jawab soal uraian no 1,2,3,4,5. dengan cara!
tolong jawab soal uraian no 1,2,3,4,5. dengan cara!

1 Jawaban

  • 1.
    f(x) = x³ - 9x + mx + 69
    f(3) = 12
    27-27 + 3m + 69 = 12
    m = - 19

    g(x)= x⁴ + 2x³ - 2x + nx + 26
    g(-2) = 12
    16 - 16 + 4 - 2n + 26 = 12
    n = 9

    m+n = -19 + 9 = -10

    2.
    g(x-2) = 2x + 3
    g(x)= 2(x+2) + 3
    g(x)= 2x + 7
    h{ g(x)} =  6x + 23
    h(2x+7) = 6x + 23
    h(x) = 6[ 1/2 (x-7)] + 23
    h(x) = 3(x-7) + 23
    h(x) = 3x -21 + 23
    h(x) = 3x + 2

    3. lim x->∞ √(x²+2x) - √(x²+x)
    a=p = 1
    b = 2, q = 1
    limit = b- q/(2√a) = (2-1)/2√1)  = 1/2

    4.limit x->0 [ xᵃ. sin⁴ x]/[ sin⁶ x] = 1
    xᵃ/sin² x . sin⁴ x/sin⁴ x = 1
    xᵃ/sin² x = 1
    a= 2