SBMPTN

Pertanyaan

Jika f(2 - 3x) = x/3x - 1,maka f invers (x - 1) =

A.3x - 2/3x - 1 B.3x - 5/3x - 4

C.x - 2/3x - 3 D.3x + 2/3x - 1

E.x - 3/3x - 6

Dijawab ya gan mohon bantuannya

1 Jawaban

  • f(2-3x) = x / 3x -1
    f (-3x+2) = -1/3(-3x+2)+2/3 / -(-3x+2)+1
    f(x) = -1/3x +2/3 / -x +1
    misal y = -1/3x +2/3 / -x +1
    y (-x + 1) = -1/3x +2/3
    -xy + y = -1/3x + 2/3
    1/3x - xy = 2/3 - y
    (1/3 - y)x = 2/3 - y
    x = (2/3-y) / (1/3 - y)
    f-1(x) = (2/3-x) / (1/3-x)
    f-1(x-1) = (2/3 - (x-1) ) / (1/3 -(x-1) )
    f-1(x) = 2/3 -x +1 / 1/3 -x +1
    f-1(x) = (-x +5/3) / (-x +4/3)

Pertanyaan Lainnya