Let f and g be the following functions. f: N→ P(N) - {0} defined by f(x) = {n: n € N and x ≤ n ≤ 2x}. g: P(N) - {0} → N defined by g(X) = min(X), where min(X) is the smallest element in X.
Let f and g be the following functions. f: N→ P(N) - {0} defined by f(x) = {n: n € N and x ≤ n ≤ 2x}. g: P(N) - {0} → N defined by g(X) = min(X), where min(X) is the smallest element in X.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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is f onto, is f one to one, please explain the answer
Is ?∘?onto? Is ?∘?one-to-one?
Transcribed Image Text:Let f and g be the following functions.
ƒ: N→ P(N) - {0} defined by f(x) = {n: n € N and x ≤ n ≤ 2x}.
g: P(N) - {0} → N defined by g(X) = min(X), where min(X) is the smallest
element in X.
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