# Dilations, translations and reflections

• Feb 1st 2010, 11:40 PM
scubasteve94
Dilations, translations and reflections
Show that (3x + 2)/(x + 1) = 3 - 1/(x +1)

any help would be appreciated! Not sure where to start! Thanks!
• Feb 1st 2010, 11:48 PM
Justiceapple
Please, look at the picture below. Sorry it's messy, but that's how it goes. You divide the first thing and the answer will be the second thing.

As for #2, you take the remainder (-1) and put it on top of what you divided with..

Do you understand?
http://i674.photobucket.com/albums/v...Picture1-1.png
• Feb 2nd 2010, 12:46 AM
Stroodle
$\frac{3x+2}{x+1}=\frac{(x+1)+(x+1)+(x+1)-1}{x+1}=3-\frac{1}{x+1}$