Matematika

Pertanyaan

no 1 sama 2 aja yah, tolong banget
no 1 sama 2 aja yah, tolong banget

1 Jawaban

  • jawab

    1a.
    f(x) = x-1
    g(x) = x²+x + 1
    gof(x) = (x-1)² + (x-1) + 1
    gof(x)= x² - x + 1

    1b.
    f(x) = 1/(x+1)
    g(x) = x² - 2
    gof(x) = [1/(x+1)]² - 2 = 1/(x+1)² - 2
    gof(x) = {1 - 2(x+1)²}/(x+1)²
    gof(x) = (1 - 2x² + 4x + 2) / (x+1)²
    gof(x)= (3 + 4x - 2x²)/(x+1)²

    2. g(x) = 1 - 3x
    h(x)= x² -1

    hog(x)= 3
    (1- 3x)² - 1  = 3
    (1 - 3x)² = 4
    (1 - 3x) = 2 atau (1 - 3x ) = - 2
    -3x = 2- 1  atau -3x  = -2 - 1
    -3x = 1 atau - 3x = - 3
    x = - 1/3   atau x = 1