Math 107 Name __________________________________________________ This quiz is worth 60 points. Each problem is worth 6 points. This quiz is open book and open notes, and there is no time limit, as long as you submit it by the deadline. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. Please show your work if appropriate. At the end of the quiz, please sign and date the statement that you received no help on the exam. Without the signed statement you will receive a zero. When you have completed the quiz, please submit it in your Assignment Folder. 1. Let f(x) = x2 and g(x) = 1 - x 2 . Find (f g)(x) and (g f)(x). 2. For f(x) = |x5| and g(x) = 4 - x, find a. (f g)(5) b. (g g)(0) 3. Find the inverse of f(x) = 3x 2 4. Solve (5x - 1) 4 - 81 = 0. 5. Solve 2 x7 = x - 3. Be sure to check for extraneous solutions. 6. Solve the equation solutions. x3=4 x +1 . Be sure to check for extraneous 7. Solve the equation x4 3 = 8. 8. a. Rewrite log 3 27 = 3 as an exponential equation. b. Rewrite 10 3 = 1000 as a logarithmic equation. 9. Evaluate the following expressions: a. log 5 25 b. ln e c. log 13 13 d. log 16 64 10. Find the domain of the function f(x) = log 3 (5x + 7) 11. Use the appropriate change of base formula to approximate the logarithm. log4 (1/10)