Question about math....?

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I'm trying to find the inverse of f(x) = x/(x-5)...and i cant figure it out, can someone help me?

2007-08-29 12:23:29 · 2 answers · asked by Kurt 3 in Science & Mathematics ➔ Mathematics

Switch x and y,
x = y/(y-5)
x(y-5) = y
f^-1(x) = y = 5x/(x-1)

2007-08-29 12:38:35 · answer #1 · answered by sahsjing 7 · 0⤊ 0⤋

f^-1(x)/(f^-1(x) - 5) = x
f^-1(x) = xf^-1(x) - 5x
f^-1(x) - xf^-1(x) = - 5x
f^-1(x)(1 - x) = - 5x
f^-1(x) = - 5x/(1 - x)

2007-08-29 19:39:04 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋