Matematika

Pertanyaan

jika h(x)= 2+3x/4x maka h^-1

2 Jawaban

  • ★ Invers ★

    h(x)= 2+3x/4x
    y = 3x + 2 / 4x
    4xy = 3x + 2
    4xy - 3x = 2
    x(4y-3) = 2
    x =2 / (4y-3)

    h^-1(x) = 2/ (4x-3)
  • h(x) = (2 + 3x) / 4x

    h{h`¹(x)} = x

    (2 + 3h`¹(x) } / 4h`¹(x) = x
    2 + 3h`¹(x) = 4xh`¹(x)
    4xh`¹(x) - 3h`¹(x) = 2
    h`¹(x) (4x - 3) = 2
    h`¹(x) = 2 / (4x - 3)

    Semoga berguna +_+

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