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
Matematika
Nadya2341
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 Jawaban
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1. Jawaban Anonyme
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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