The answer is - you have to test it to find out.
I did a test of my own on a table which has ~8,000,000 rows
DECLARE @date DATETIME
SET @date = GETDATE()
;
SELECT T.DateCol, DATEADD(dd,-100,@date)
FROM dbo.TableName AS T
WHERE T.DateCol > DATEADD(dd,-100,@date)
;
SELECT T.DateCol, DATEADD(dd,-100,GETDATE())
FROM dbo.TableName AS T
WHERE T.DateCol > DATEADD(dd,-100,GETDATE())
;
In my case the use of the variable caused SQL Server to estimate an expensive plan:

the reason is that SQL Server builds the query plan during compilation,
at that time the value of the variable is not yet known and SQL Server can not use the statistics.
I suggest you read about parameterization
There are other cases where the use of the variable will cost less then calling a function many times,
so here it is again - TEST TEST, and TEST :)