You need to know which is your host's operating system (Windows? Linux? It seems that your provider works with CENTOS, which is a Linux distribution). Then, you need to know if it has LaTeX installed.
IF it was Linux,
AND you have access to a shell on the host, then you can issue the command "which latex" and see if LaTeX is installed and where.
Anyway, even if there was no LaTeX at all, the filter should work, by using "mimetex.exe" or "mimetex.linux", automatically (both are included in the default Moodle distribution, in .../moode/filter/tex/).
I have read in this forum that in some Windows installations you should check if mimetex.exe is not corrupted and if it is executable (I do not use Windows).
You could try as well this: http://<your_moodle_installation>/filtex/tex/texdebug.php
I did it, on your site, and the result is:
sh: /home/centralg/public_html/teachclassesonline/filter/tex/mimetex.linux: Permission denied
The shell command
"/home/centralg/public_html/teachclassesonline/filter/tex/mimetex.linux" -e "/home/centralg/public_html/teachclassesonline/uploaddata/filter/tex/74c2b66b2d2501b77fad711fd1febcf0.gif" '\Large f(x)=\Bigint_{-\infty}^x~e^{-t^2}dt' returned status = 126
File size of mimetex executable /home/centralg/public_html/teachclassesonline/filter/tex/mimetex.linux is 491043
The file permissions are: 100644
The md5 checksum of the file is c294ab11905323bb5cb0f451241bedc1
Image not found!
That means that you should change the permissions on "mimetex.linux" so that is is executable.
Good luck!
Leonardo