Is it true that to be a faithful Muslim woman, I cannot hold a job?

Assalamualaikum, For years, I have been taught that, according to Islam, it is better for Muslim girls to stay at home. Girls should not go outside without the permission of their parents or husband. Getting jobs and working with unrelated males is also strictly prohibited. **Is it true that to be a faithful Muslim woman, I cannot hold a job or build up an identity of my own?**