SOLUTION: what is 1/9+1/3x divided by x/9-1/x

Algebra ->  Rational-functions -> SOLUTION: what is 1/9+1/3x divided by x/9-1/x      Log On


   

Question 154771: what is 1/9+1/3x divided by x/9-1/x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is 1/9+1/3x divided by x/9-1/x
--------------------------------------
1/9 + 1/3x = (x+3)/9x
--------------
x/9 - 1/x = (x^2 - 9)/9x
--------------
1/9+1/3x divided by x/9-1/x = [(x+3)/9x]/[x^2-9)/9x]
= 1/(x-3)
===============
Cheers,
Stan H.