CSCI-235: Elements of Discrete Structures Fall 201 M.Akhta Test 2 Answer all questions. This test is closed-book Be sure to read through the entire test. There are some minutes. Good luck! Total 40 points! closed-notes and an opesmisd bonus questions as well. You have a total of so 1. Define Knowledge Base. [2 pts) 2. Let f and g be functions from the set of integers to the set of integers defined by Ax) -5+5x and gx) 5x + 15. A. What is the composition of f and g? (Hint: consider figs))) 14 ps) B and C are Bonus questions [4 pts) B. What is the inverse of the function, fox)-5x1? C. What is the composition of g andf? 3. We define the following predicates: [7 pts] i. F): x is Female ii. Stx): x is a Student ili. K,y): x Knows y's name Part A: Consider the statement: "There are no students" Translate the statement to a predicate logic. What would be the equivalent statement