Algebra Emergency!!
posted by Jane .
Find the inverse of f(x)=2x+1/x1 and please VERIFY(CHECK) Thanks so much

Algebra Emergency!! 
Damon
y = (2x+1) / (x1) I assume you mean
x = (2y+1)/(y1)
x y x = 2 y + 1
2 y  xy = (x+1)
(2x)y = (x+1)
y = (x+1)/(x2) 
Algebra Emergency!! 
Damon
Now try a check
say x = 3 (do not use x = 1, undefined)
then
y = 7/2
now see if that reverses
if x = 7/2
y = (7/2 +1)/ (7/2 2)
= (9/2) / (3/2)
y = 3
sure enough 
Algebra Emergency!! 
Steve
that's a great anecdote, but a true verification means that you have to show that
(2[(x+1)/(x2)]+1)/([(x+1)/(x2)]1) = x 
Algebra Emergency!! 
Jane
Thank you guys the help is great
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