Matematika

Pertanyaan

Tentukan invers dari fungsi fungsi dibawah ini,
A) f(x)=4x+5
B) f(x)=1/2x-3
C) f(x)=3x-1
D) f(x)=1/3(2x-5)

1 Jawaban

  • a) f(x) = 4x +5
    y = 4x + 5
    4x = y -5
    x = 1/4y - 5/4
    f-1(x) = (1/4)x - 5/4
    b) f(x) = 1/2x -3
    y = 1/2x - 3
    1/2x = y + 3
    x = 2y + 6
    f-1(x) = 2x + 6
    c) f(x) = 3x - 1
    y = 3x -1
    3x = y + 1
    x = 1/3y + 1/3
    f-1(x) = (1/3)x + 1/3
    d) f(x) = 1/3(2x-5)
    y = 1/3(2x -5)
    3y = 2x -5
    2x = 3y +5
    x = (3/2)y + 5/2
    f-1(x) = (3/2)x + 5/2.

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