# Math Help - Find the inverse domain and range of f(x)?

1. ## Find the inverse domain and range of f(x)?

I am stuck trying to find the inverse of f(x)=x+6/x, can someone help?

2. Originally Posted by sydewayzlocc
I am stuck trying to find the inverse of f(x)=x+6/x, can someone help?
$f(x) = \frac{x+6}{x}$ or $x + \frac{6}{x}$ ?

please use parentheses to make your posts clear.

3. i apologize it was (x+6)/(x)

4. To find the inverse of a function, substitute y for every x, then x for y's. So your function would then look like: x = (y+6)/y. Now just solve for y, and you have your inverse function.

5. Originally Posted by sydewayzlocc
... it was (x+6)/(x)
$y = \frac{x+6}{x}$

swap variables ...

$x = \frac{y+6}{y}$

solve for $y$ ...

$xy = y+6$

$xy - y = 6$

$y(x-1) = 6$

$y = \frac{6}{x-1}$