Please answer all questions, and make sure the arithmetic and final answer are correct.

Question 1 (Essay Worth 10 points) (01.05) For fix) _ ' X and g:){) ' x , find the simplified form for f [g(x)] and state the domain. X Y Question 2 (Essay Worth 10 points) (02.02) Evaluate lim (x2 +3 -2, You must show your work to receive credit. X-1 x -1Question 3 (Essay Worth 10 points) (02.05} A particle moves on a line away from its initial position so that aftert hours it is s = 2t2 +3t miles from its initial position. Find the average velocity of the particle over the interval [1. 4]. Include units in your answer. Question 4 (Essay Worth 10 points) (03.03) Use the table below to evaluate d dx ['[9(2x ) ]] atx = 1. X 2 A f(x) 6 1 8 2 f '(x) 6 8 2 g(x) 1 4 4 3 g (x) 9 5 5 -4