I got a test and im having trouble on functions. On the quiz we had this problem on composite functions. given f(x) = 6/(3-x) and g(x) = 5/3x find the following a. f of g b. the domain of f of g c. the range of f of g My attempts a. For a I got 6/3 - 5/3x = 18x/9x - 5 which was the right answer. No problems here. However im stuck on b and c. b.For b I got (-infinity, 0) (0, 5/9) (5/9, 3) (3,infinity). My teacher marked the 3's as wrong and I dont know why. What I did was found the domain of f and g sperately and then excluded them from f of g. So im kind of confused. c. Right answer was (-infinity,0) (0,2) (2,infinity) For the range I kind of forgot how to find the range! But I found the inverse of f of g and then used the domain of the inverse since thats the range which was (-infinity,2)(2,infinity). Then I realized that since these were rational functions it was the horizontal asymptote but im not sure if thats the right reason. I really need help with this!