Matematika

Pertanyaan

tolong di bantu di jawab no 1-5
tolong di bantu di jawab no 1-5

1 Jawaban

  • 1) x + 3 = 0
    x = -3
    f(-3) = 0
    (-3)³ + m(-3)² + 59 = 0
    -27 + 9m + 59 = 0
    9m + 32 = 0
    9m = -32
    m = -32/9 = 3(5/9)

    2) f(x) =(ax + b)/(cx + d) inversnya
    f'(x) = (-dx + b)/(cx - a)
    f'(x) = (6x + 4) / (5x - 3)

    3) lim x --> ∞ (√ax²+bx+c - √ax²+px+q)
    = (b - p)/2√a
    jika dijabarkan jadi
    lim x->∞ (√x²+(p+q)x+(pq) - √x²)
    = (p+q) - 0 / 2√1
    = (p+q) / 2

    4) gof(x) = g(2x) = 5(2x) - 2 = 10x - 2

    5) turunan > 0
    3x² - 8x > 0
    x(3x - 8) > 0
    x < 0 atau x > 8/3