Final Answer:
b) ([-8, -6) cup (-6, 8]) The chosen domain effectively fulfills the criteria by encompassing the specified intervals while excluding the singular value mentioned, thus making it the appropriate selection in this context.
Explanation:
The correct domain for the given options is ([-8, -6) cup (-6, 8]). This domain comprises all real numbers except for -6 within the closed interval from -8 to -6 and all real numbers from -6 to 8 within an open interval, including -6. The union of these intervals covers all values from -8 to -6 and excludes -6 while including all values from -6 to 8.
This choice effectively represents the range specified, omitting only the single value -6, which falls within the given exclusions while covering all other real numbers within the specified intervals. This choice ensures the inclusion of the required range while correctly excluding the specific value mentioned in the options.
This domain selection is the most precise representation of the specified range, addressing the inclusivity and exclusivity criteria outlined in the provided options. By combining intervals in this manner, it accurately encapsulates the range of numbers required while adhering strictly to the constraints given. The chosen domain effectively fulfills the criteria by encompassing the specified intervals while excluding the singular value mentioned, thus making it the appropriate selection in this context.