Q:

I sent 1 IOTA to Bitfinex, transaction is confirmed but money aren't store on my wallet on Bitfinex

It was like that :
1. I wanted to send IOTA to Bitxinex  so  i take adres from my wallet on Bitfinex (according to the instructions) adres is IRFHCFRYIYQYH9T9JNWMT9WUAULEAPWFUJYUPASVVLLPWVONLMVFFUZKODQGDBYGXIFOPKWFXQUEHRKJWHRDX9JKUY
2. After a dozen or so hours - transaction is confirmed by Tangle
(look at https://thetangle.org/transaction/AGMQDQZRRYSFQDC9TNIUPJMPKEQQAVG9YPULYTAGTWCFLOCGY9JMLEE9JBT9IHCMBDRLVAGMRETWZ9999)
3. After an hour (as you can see in Tangle explorer https://thetangle.org/transaction/W9ETYRKVWHDMVBIMHJOHNNHXUW9VYQRSIDBVIQOQJTKHQ9JDQZJ9QJTEPKLXRKFCPPBEJIWYEBKO99999) someone or something executes another transaction as a result my 1 IOTA is taken from the address.
4. In account logs (Bitfinex) there is no trace of these operations, and the account balance is zero. 
I can't understand what happened? Did I make a mistake?
and why Tangle and Bitfinex tell a different story of transactions on adres=IRFHCFRYIYQYH9T9JNWMT9WUAULEAPWFUJYUPASVVLLPWVONLMVFFUZKODQGDBYGXIFOPKWFXQUEHRKJWHRDX9JKUY.
https://thetangle.org/address/IRFHCFRYIYQYH9T9JNWMT9WUAULEAPWFUJYUPASVVLLPWVONLMVFFUZKODQGDBYGXIFOPKWFXQUEHRKJW

A:

This is basic practice on Bitfinex. They collect all the iota centralized and keep track of your iota in a Database. This process may take some time. So be patient.
This is not Bitfinex support and if you have questions on Bitfinex use their support please.

