Total Points: 150 Final Exam [3. Given f(x) = 3r2 3 and g(x) = 2x + 1, answer the questions below, combine any like terms and simplify if possible. (4 points each) a. Find (3) (x) and state its domain in interval notation. b. Find (fog)(x) and state its domain in interval notation. 14. Suppose that the profit (in dollars) for selling concert tickets is given by the function P(x) = 4x2 + 500x 1000, where x is the price ot'a ticket in dollars. Determine the maximum prot. (6 points) 15. Sound Intensity is often measured in decibels (dB'S) and is given by the following formula: watts . 2 and L, is the meters intensity ofthe faintest audible sound that an average person can hear (threshold sound). Ifa cat's purr is 310 times more intense as threshold sound. nd the number of dB's associated with a cat purring. (7 points) I d8 = 10 log( 1) Where I is the actual sound intensity measured in 0