Denshi Jisho — Online Japanese dictionary

可き べき 1: (Usually written using kana alone) should (suf. to verbs); must; that one ought to; to be done;
2: (passive ending) -able
Auxiliary 

You can also

Look up kanji details for 可き.

Try a Yahoo Jisho search for 可き .
Try a Goo Jisho search for 可き .
Try a Google search for 可き .