How to simplify rational functions

Question

how do you simplify this rational function;

 

1/(1/x+2)-1

 

the answer is -x-2/x+1

 

thankyou

Answer 1

multiply the expression by 1, in the form of (x+2)/(x+2)

 

1/[1/(x+2) -1]  (x+2)/(x+2) =

 

(x+2)/(1 -x -2) =

 

(x+2)/(-x -1) =

 

(-x -2)/(x + 1)