6. Let f : A→ R be a continuous function. Show that if A is compact then sup f(A) E f(A). 7. Show that the following functions are uniformly continuous on their respective domains: (a) f(x) = x? + 3r - 5 on the domain (1,3) (b) g(x) = on the domain (2, 5]
6. Let f : A→ R be a continuous function. Show that if A is compact then sup f(A) E f(A). 7. Show that the following functions are uniformly continuous on their respective domains: (a) f(x) = x? + 3r - 5 on the domain (1,3) (b) g(x) = on the domain (2, 5]
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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