# Domain

• June 23rd 2011, 04:03 AM
mikegarcia
Domain
I need help help to expand the following function (so i can see the domain better)

|x+2|*e^1/x

This is the same as?

Any help is apreciated.
• June 23rd 2011, 04:15 AM
Prove It
Re: Domain
Note that $\displaystyle |x + 2| = \begin{cases} x + 2\textrm{ if }x \geq 2 \\ -(x + 2) \textrm{ if }x < 2 \end{cases}$.

So $\displaystyle |x + 2|e^{\frac{1}{x}} = \begin{cases} (x + 2)e^{\frac{1}{x}} \textrm{ if }x \geq 2 \\ -(x + 2)e^{\frac{1}{x}} \textrm{ if }x < 2 \end{cases}$

Now expand.