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M. Al his test is closed-book, closed-notes and an open-mind entire test. There are some bonus questions as well. You have a total of ! ITotal 40 points 1. Define Knowledge Base. 12 pts) 2. Let f and g be functions from the set of integers to the set of integers defined by (x) 5 + 5x and g(x) = 5x + 15 A. What is the composition of f and g? (Hint: consider f(g(x)) (4 pts) B and Care Bonus questions [4 pts]: B. What is the inverse of the function, f(x)-x1 C. What is the composition of g and /? Ve define the following predicates: [7 pts] i. Fx): x is Female ii. S) x is a Studernt ii. K(r.y): x Knows ys name 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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Answer 1. Knowledge base is basically define as a database that is used for purpose of knowledge sharing & also for the management. In artificial intelligence field this are structured such that with the help of this we can find solutions of problems by using the data that we got from our previous experiences, this data is retrieved from knowledge base. It helps in optiminzing the collection of information. This database is generally for a specific subject.

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