1. The problem statement, all variables and given/known data g(x)=(In(x-5)/In(x-5))+sqrt(10-x). Find Dom(f) and Range(f). and sqrt(10-x) is decreasing. 3. The attempt at a solution x-5=0 x=5. 10-x>=0 10>=x. so The dom(f), I think, is (-infinity,5)U(5,10]. now the range, the equation should look like this after cancelling. 1+sqrt(10-x). Is it right that I just plug in x values like:10,5,.... and I tried to plug in some and I got this (1,1+sqrt(5))U(1+sqrt(5),infinity). Is that right? Or am I missing something?