Do you like going out to work? Work out is a very colloquial sentence, which often appears in American TV series.
Do you like going to the gym to exercise?
Do you like doing sports in the gym?
How many times a week do you go to the gym to exercise?
How many times a week do you exercise in the gym?
He goes to the gym to exercise three times a week.
He goes to the gym three times a week.
He likes my cooking very much.
He likes my cooking very much.
We are going to have a physical examination tomorrow.
We will have an examination tomorrow.
Please ask questions.