Matematika

Pertanyaan

fungsi f(x) = 2x+3/4-5x,x≠ 4/5 .nilai f-¹(x-2)=

1 Jawaban

  • f(x) = 2x+3/4-5x
    f^-1(x-2)=...?
    cari f^-1(x)
    f(x) = 2x+3/4-5x
    y = 2x+3/4-5x
    y(4-5x) = 2x+3
    4y-5xy = 2x+3
    2x+5xy = 4y-3
    x(2+5y) = 4y-3
    x = 4y-3/2+5y
    maka f^-1(x) = 4x-3/2+5x
    f^-1(x-2)= 4(x-2)-3 / 2+5(x-2)
    = 4x-8-3 / 2+5x-10
    = 4x-11 / 5x-8

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