You could also use 'asks questions of', but this is dubious for two reasons:
- the repeated 'of' is not very elegant
- it's a bit dated*, and may not mean much to some audiences
The words 'ask' and 'to' sometimes collocate in informal speech to abbreviate 'ask [s/o whether permission is granted for the speaker] to'. Example: 'The boy put his hand up and asked to leave the room'.
PS It crops up in old texts, folk songs for example: 'The men in the forest, they asked of me, Saying 'How many strawberries grow in the salt sea?'