Cross Class Abilities

I noticed that when I switch jobs like from White Mage to Black Mage that some of the White Mage abilities stayed on the crossbar even though I can't use them as a black mage. This happens with other jobs I switch with. Is there a way to fix it so the cross class abilities I can't use don't transfer when switching jobs.

You are sharing your hotbars. Go into your character configuration, hotbars, then check the far right tab to see if you have any of the boxes checked. Remove the checked boxes to stop sharing your hotbars.