Algebra-2

To find the domain of the function , we need to identify the values of for which the logarithmic function is defined.

For to be defined, the argument of the logarithm, , must be positive (since the logarithm is only defined for positive values of the argument).

To solve , we first note that will be positive when the denominator is positive. Therefore, we need to find where .

Factor the expression:

We want to determine when the product is positive. To do this, we analyze the sign of in the intervals determined by the critical points and .

For , both

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