For a domain question, check every part of the function separately. A logarithm is defined only when its input is positive, and a fraction is defined only when its denominator is not zero. Here, The logarithm requires x-7>0, so x>7. The denominator x+8 must not be zero, so x≠-8. Both restrictions are required. The final domain must satisfy both conditions at the same time, so both selected options are necessary.