Matematika

Pertanyaan

tolong jawabannya yaaa........
tolong jawabannya yaaa........

1 Jawaban

  • 1) invers f-¹(x)
    y = (3x-1)/(5x+4)
    y(5x+4) = 3x-1
    5xy+4y = 3x-1
    5xy-3x = -4y-1
    x(5y-3) = -4y-1
    x = (-4y - 1)/(5y - 3)
    f-¹(x) = (-4x - 1)/(5x - 3)

    2) 5x - 7 = y
    5x = y + 7
    x = (y + 7)/5
    f-¹(x) = (x + 7)/5

    3) fog(x) = (2x+1)² - 2
    (2x+1)² - 2 = y
    (2x+1)² = y + 2
    2x + 1 = √(y + 2)
    2x = -1 + √(y + 2)
    x = {-1 + √(y + 2)} / 2 (fog)-¹(x) = {-1 + √(x + 2)} / 2