Matematika

Pertanyaan

Tentukan rumus f-1 (x) dan f-1(3) untuk fungsi berikut

A.f(x) = 1/2x + 2/3
B.f(x) =-2/3 (2x-1)
C.f(x) = 4 (5-3x)

Pake rumus ya :)

1 Jawaban

  • A) f(x) = ½x + ⅔
    y = ½x + ⅔
    ½x = y - ⅔
    x = 2(y - ⅔)
    x = 2y - 4/3
    f-¹(x) = 2x - 4/3
    Atau
    f-¹(x) = (6x - 4) / 3
    f-¹(3) = (6(3) - 4) / 3 = 14/3

    B) f(x) = -⅔ (2x - 1)
    y = -4/3x + ⅔
    4/3x = ⅔ - y
    x= 3/4 (⅔ - y)
    x = ½ - 3/4y
    f-¹(x) = ½ - ¾x
    Atau
    f-¹(x) = (2 - 3x) / 4
    f-¹(3) = (2 - 3(3)) / 4 = -7/4

    C) f(x) = 4 (3 - 5x)
    y = 12 - 20x
    20x = 12 - y
    x = (12 - y) / 20
    f-¹(x) = (12 - x) / 20
    f-¹(3) = (12 - 3) / 20 = 9/20

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