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Answer:
.
In other words, the in
could be any real number as long as
for all integer
(including negative integers.)
Step-by-step explanation:
The tangent function has a real value for real inputs
as long as the input
for all integer
.
Hence, the domain of the original tangent function is .
On the other hand, in the function , the input to the tangent function is replaced with
.
The transformed tangent function would have a real value as long as its input
ensures that
for all integer
.
In other words, would have a real value as long as
.
Accordingly, the domain of would be
.