I would suggest you try these methods and check the issue (IE9 not working after update) status.
Check if you can experience the issue in ‘Safe mode with networking’; if safe mode with networking works fine then set the computer to ‘Clean boot’ state to check for software conflicts.
Step 1: Start your computer in safe mode with networking.
Step 2: Keep the computer on a clean boot and check for the issue status. If everything works fine after a clean boot, you can infer that some third party services are causing the problem. Proceed with the remaining steps to pin-point out the third party service. After you figure out the problem causing program, you may have to update or install a higher version of the program, if you seldom use that software you can consider uninstalling it.
How to troubleshoot a problem by performing a clean boot in Windows Vista or in Windows 7.
Note: Please go through step 7 of the Kb to keep the computer in normal startup after fixing the issue.
Fix Internet Explorer add-on problems when IE hangs or freezes.
Reset Internet Explorer 9 settings.
Disclaimer: The Reset Internet Explorer Settings feature might reset security settings or privacy settings that you added to the list of Trusted Sites. The Reset Internet Explorer Settings feature might also reset parental control settings. We recommend that you note these sites before you use the Reset Internet Explorer Settings feature.
Uninstall and reinstall the Internet Explorer 9.
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