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1. Define Knowledge Base. [2 pts] 2. Let fand g be functions from the set of integers to the set of integers defined by A.

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1. Define Knowledge Base. [2 pts] 2. Let fand g be functions from the set of integers to the set of integers defined by A. What is the composition of fand g? (Hint: consider fig(x))) [4 pts x)5+5x and gx)- 5x +15 B and C are Bonus questions [4 pts B. What is the inverse of the function, f(x) 5x + 1? C. What is the composition of g and f? 3. We define the following predicates: [7 pts] i. Fo): x is Female ii. S): x is a Student iii. K(x,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

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