Legal Question in Family Law in Nevada

Depends on your objectives.

If you want to ensure that he will not at a later date assert custodial rights, then a relinquishment will accomplish that. It sill not, as he probably thinks it will, insulate him from a claim for child support. Only a court-ordered termination of parental rights, pretty much never granted at the request of the obligor parent, would accomplish that. For details, see:

http://www.willicklawgroup.com/child_custody_visitation

http://www.willicklawgroup.com/child_support

http://www.willicklawgroup.com/paternity

http://www.willicklawgroup.com/termination_of_parental_rights