Let and . If , then then the domain of the function is:
Explanation for Correct Answer
Step-1: Value of using limit:
Finding the value of
Therefore
Step-2 :Domain of composite function:
Calculating
Therefore,
Solving the first inequalities :
Using the
number line we get,
Similarly for the second inequality :
Using the number line we get,
Therefore is belongs to
Hence, option (A) is the correct answer.