University of Maryland University College Math 107 - College Algebra Quiz 5 Free Response, Multiple Choice, and Yes/No Problems, 6 Points Each. You may write answers after problems (you may use Microsoft Equation). If you prefer handwriting, prepare you answer sheet, scan it, and prepare a file in PDF format. Write an exact answers, using fractions or radicals as needed. Simplify answers if possible. 1. Given that f(x) = 55x + 22 and g(x) = x3, find (f g)( 3). 2. Find (f g)(x) and (g f)(x) for 3. Find ( f og )( x) and ( g o f )( x) . f ( x) 2 x 1, g ( x) x x4 f ( x) 5 x 4, g ( x) 5 . and the domain of each. 4. Choose the graph that shows a graph of a one-to-one function and its inverse (shown red and dashed). A C B 5. Determine whether the function Yes f ( x) x 2 D is one-to-one. No 2 6. Find the inverse of the function 3 f ( x) x 1 . In problems 7-8, solve radical equations. 7. x 1 1 x 8. 6x 7 x 2 9. Choose the correct graph for the function x . 1 y 2 A B C 10. Choose the correct graph for the function A f ( x) 0.35e x 3 B 11. Find the domain of the function C H ( x) log 7 x9 . D . D 3 A. All positive real numbers. B. All nonzero real numbers. C. All real numbers except 7. D. All real numbers. 12. Find the logarithm. log 5 54 13. Find the logarithm. log108 14. Choose the correct graph for the function A 15. Choose the correct graph. B y log 8 x C f ( x ) 3x is in the solid red line. D f 1 ( x ) log 3 x is the dashed blue line. A 16. For the function B f ( x) log 3 ( x 1) (a) The domain in interval notation (b) The vertical asymptote C find: D