Matematika

Pertanyaan

tolong no 11 12 13 + cara penyelesaiannya, tolongg
tolong no 11 12 13 + cara penyelesaiannya, tolongg

1 Jawaban

  • no. 12
    g(f(x)) = 8x^2+2x+1
    g(2x+1) = 8x^2+2x+1
    misalkan y = 2x+1 shngga x = (y-1)/2
    g(y) = 8((y-1)/2)^2 + 2((y-1)/2) + 1
    g(y) = 2y^2-3y+2
    jadi g(x) = 2x^2-3x+2 (D)

    no. 13
    f(x) = (2x+1)/x
    misalkan f(x) = y maka
    y = (2x+1)/x
    xy = 2x+1
    xy - 2x = 1
    x(y-2) = 1
    x = 1/(y-2)
    f^-1 (x) = 1/(x-2)

    (f^-1 o g)(x) = 1/((x+3)-2) = 1/(x+1)
    (f^-1 o g)(3) = 1/(3+1) = 1/4 (C)