Matematika

Pertanyaan


1. diketahui f:R => R, f(x)=
[tex] \frac{3x + 1}{2x - 4} [/tex]

x ≠ 2. hitunglah nilai f^-1(5)

2. Ada di gambar
1. diketahui f:R => R, f(x)= [tex] \frac{3x + 1}{2x - 4} [/tex] x ≠ 2. hitunglah nilai f^-1(5) 2. Ada di gambar

1 Jawaban

  • y = (3x + 1)/(2x - 4)
    y(2x - 4) = 3x + 1
    2xy - 4y = 3x + 1
    2xy - 3x = 4y + 1
    x(2y - 3) = 4y + 1
    x = (4y + 1)/(2y - 3)
    f^-1(x) = (4x + 1)/(2x - 3)
    f^-1(5) = (4*5 + 1)/(2*5 - 3) = 21/7

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