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3. Consider the ceiling function, g(x)=[xwhich assigns to every x the smallest integer greater than or equal to x. Let g:R[0,∞) be defined by g (x) =[x']. Let A={xe[0,0): 3.2

3. Consider the ceiling function, g(x)=[xwhich assigns to every x the smallest integer greater than or equal to x. Let g:R[0,∞) be defined by g (x) =[x']. Let A={xe[0,0): 3.2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Consider the ceiling function, g (x) =[x]which assigns to every x the smallest integer greater than or equal to x. Let g:R[0,0) be defined by g (x)-[x'] Let A={xe[0, c0):3.2<x<8.9}. Determine a) Domain of g(x). b) Codomain of g(x). c) Range of g(x). d) Find g(A). e) Find g(4).
Transcribed Image Text:3. Consider the ceiling function, g (x) =[x]which assigns to every x the smallest integer greater than or equal to x. Let g:R[0,0) be defined by g (x)-[x'] Let A={xe[0, c0):3.2<x<8.9}. Determine a) Domain of g(x). b) Codomain of g(x). c) Range of g(x). d) Find g(A). e) Find g(4).
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