Xbox Wireless G Adapter Does A Regular Xbox (not Xbox 360) Wireless-G Adapter Work For Xbox Live On 360?

Does a Regular Xbox (not Xbox 360) Wireless-G Adapter work for xbox live on 360? - xbox wireless g adapter

This is an Xbox Wireless Adapter MN-740. It 802.11g/Wi-Fi. For the Xbox works regularly for the Xbox 360 To say how.