Matematika

Pertanyaan

jika f(x)=2x+3 per x-8 dimana x= 1 per 8 tentukanlah f^-1 (x+2)=

1 Jawaban

  • y = (2x + 3)/(x - 8)
    y(x - 8) = 2x + 3
    xy - 8y = 2x + 3
    xy - 2x = 8y + 3
    x(y - 2) = 8y + 2
    x = (8y + 2)/(y - 2)
    f^-1(x) = (8x + 2)/(x - 2)
    f^-1(x + 2) = (8(x + 2) + 2)/(x + 2 - 2)
    = (8x + 18)/x 

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