Algebra-2

To find the domain of the function , we need to consider the restrictions on the input values of based on the properties of the logarithmic function and the expression inside the logarithm.

Analyze the expression inside the logarithm

First, we simplify the expression . We have:

So the function can be rewritten as

For the logarithmic function , the argument must be greater than . In our case, the argument of the logarithm is , so we need to solve the inequality

For the fraction to be greater than , based on the principle that "the quotient of two numbers with the same sign is positive", there are two cases to consider:

1. Both the numerator and the denominator are positive:

That is ,

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