1. a. Given f ( x) 4 , g(x) = 3 - 2x, find and simplify the composite x2 function (f o g)(x) b. Find (f o g)(-5) where f(x) = -3x-1, g(x) = x2 - 3 2. Solve for a: 2a 2 a 15 a 9 3. Solve, and express the answer in interval notation: | 8 - 5x | 12 4. a. Express as a single logarithm: log (x + 2) + log 1 - 3 log y b. Find the exact value of the logarithm without using calculator: log 2 ( 1 ) 16 5. The percentage score on a test varies directly as the number of correct responses. Rita answered 24 questions correctly and earned a score of 60%. What would her percentage score have been if she had answered 34 questions correctly? 6. A car rental company charges $36 per day to rent a car and $0.15 per mile. Juan is charged $58.95 for one day rental. How many miles did he drive? 7. a. Multiply and simplify: (8 + i)(5 + 3i). Write the answer in the form a + bi, where a and b are real numbers. b. Solve for x: log2 (5x-4) = 4 8. Solve the inequality, and write the solution in interval notation: Show all steps to get full credit. x 7 0 x 1 9. Solve for x: 8 7x1 64 10. Suppose $2,800 is invested in an account at an annual interest rate of 4.7% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size