How do you find the inverse of $f(x) =(3x + 1) / -x$ ?

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Answer 1 · 2016-01-21T00:05:38

$f^-1(x) = -1/(x+3)$

in $y = -(3x+1)/x$ solve for x
$yx=-3x-1$
$yx+3x=-1$
$x(y+3)=-1$
$x=-1/(y+3)$
Now replace x by y and the write:
$y=-1/(x+3)$
$f^-1(x) = -1/(x+3)$

How do you find the inverse of f(x) =(3x + 1) / -xf(x) =(3x + 1) / -x?