Cake bakers and photographers should be exempt from having to do work on same-sex marriages, but taxi drivers should have to take same-sex couples to weddings, a parliamentary committee has heard.

The houses of Parliament are quiet for another week and a half, but committee work is well underway, with the Senate select committee examining the government's proposed changes to marriage law holding three hearings this week. Liberal senators David Fawcett, Dean Smith and James Paterson, along with Labor senators Louise Pratt and Kimberley Kitching, have been in Sydney, Melbourne and Canberra taking evidence