Business Calculus

Q1

Find f (x) and find the equation of the line tangent to the graph of f at the indicated value of x. X f(x ) = X= 4 (2x - 7) . . . f'(x) =]Give the domain of f, the domain of g, and the domain of m, where m(x) = f[g(x)]. f(u) = Inu; g(x) = 49 -x The domain of f is (Type your answer in interval notation.)The drug concentration in the bloodstream t hours after injection is given approximately by C(1) = 5.45 e ", 0sts5, where C(t) is the concentration in milligrams per milliliter. (A) What is the rate of change of concentration after 1 hour? After 5 hours? (B) Graph C. . . . (A) Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round until the final answer. Then round to the nearest hundredth as needed.) O A. After 1 hour, the concentration is increasing at the rate of mg/ml per hour. O B. After 1 hour, the concentration is decreasing at the rate of mg/ml per hour. O C. After 1 hour, the rate is neither increasing nor decreasing