Matematika

Pertanyaan

Tentukan Invers Dari :

f (x) = 2/3 x + 1
f (x) = 1/4 (2x+1)
f (x) = 10/(4x-3)

1 Jawaban

  • f(x) = 2/3x + 1
    y = 2/3x + 1
    2/3x = y - 1
    x = 3/2(y - 1)
    f⁻¹(x) = 3/2(x - 1)

    f(x) = 1/4(2x + 1)
    y = 1/4(2x + 1)
    4y = 2x + 1
    2x = 4y - 1
    x = 1/2(4y - 1)
    f⁻¹(x) = 1/2(4x - 1)

    f(x) = 10/(4x - 3)
    y = 10/(4x - 3)
    y(4x - 3) = 10
    4xy - y = 10
    4xy = y + 10
    x = (y + 10)/4y
    f⁻¹(x) = (y + 10)/4y

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