Fingerprint authentication doesn't work like that.  When you use a fingerprint reader to scan your fingerprint it uses a one-way hashing algorithm to come up with a digital fingerprint of key data points of your fingerprint.  So what is actually stored (the resulting hash) is not your fingerprint nor can your fingerprint be derived from it (hence the 'one-way' nature of the hashing algorithm).

When you scan your fingerprint again to be authenticated that same one-way hashing algorithm is used to come up with the same result as when you originally recorded it, identifying it as your fingerprint.

The hash doesn't even need to be protected since it is the RESULT of the hashing function and can only be obtained by hashing those same datapoints of your fingerprint.

Any decent password system works the same way:  it will never store your password but rather only a hashed result of your password which cannot be reversed to obtain your password.

The math behind all of this is proven secure