Answer to Question #133354 in Discrete Mathematics for James

Question

Let X = N (natural numbers) - {0}

and Y= P(X) - {fi}

f: X -> Y

g: Y-> Y

h: Y-> X

f(x) = {n belongs to X: n is a divisor of x}, for all x belongs to X

g(A)= {n belongs to X: n-2 belongs to A}, for all A belongs to Y

h(A) = the sum of the elements of A, for all A belongs to Y

Question

1) Is f one to one or Is f onto? Explain

2) Is g one to one or onto? Explain

3) is h one to one or onto? Explain

4) is hog one to one or onto? Explain

5) Do the functions f,g,h or hog have inverses? Explain.

Answer 1

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