Question
(a) Determine whether each of the relations represented in the diagrams below define functions from A to B. For those relations (if any) that
(a) Determine whether each of the relations represented in the diagrams below define functions from A to B. For those relations (if any) that are indeed functions say whether they are one-to-one and/or onto. You should provide justification for all your answers. (i) 13 (iii) (ii) (iv) (b) Explain whether each of the following relations on the set of real numbers is a function or not. For those (if any) that are indeed functions say whether they are one- to-one and/or onto. (i) f(x) = 4x-1 (ii) f(x)= 1 x-5 (iii) f(x)=x +3 (c) Let the real functions f(x)=(3x+1) and g(x)=1-2x. Find the composite functions fog and gof.
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Discrete and Combinatorial Mathematics An Applied Introduction
Authors: Ralph P. Grimaldi
5th edition
201726343, 978-0201726343
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