So I'm just about done with my latest assignment, however there's this little vermin impeding my way towards a perfect score. I think I may have nailed the answer, but given that it's my last available attempt at submitting a response, I want to beextrasure.

Some background information before the actual question:

The function...

http://i23.photobucket.com/albums/b3...capture-10.png

The expression $\displaystyle f(x)$ is defined exactly on the set...

http://i23.photobucket.com/albums/b3...apture-4-1.png

The expression $\displaystyle f(x)$ is equal to zero if $\displaystyle x$ is equal to...

http://i23.photobucket.com/albums/b3...apture-1-4.png

The set of all real numbers $\displaystyle x$ for which $\displaystyle f(x)$ is defined and non-zero is...

http://i23.photobucket.com/albums/b3...apture-2-1.png

And so, here is what's currently holding me back...

By analyzing the sign of $\displaystyle f(x)$ on the above open intervals, solve the inequality...

http://i23.photobucket.com/albums/b3...apture-5-1.png

... expressing answer in interval notation.

My answer to this was:

http://i23.photobucket.com/albums/b3...apture-3-1.png

Is it correct? (Headbang)