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pose f:R Z, where f(x) = [2x-1]. If A = {x:1 ≤ x ≤ 4}, find f(A). If B = {3, 4, 5, 6, 7}, find f(B). If C = {-9, -8}, find f¹(C). Is f one-to-one? Explain.

pose f:R Z, where f(x) = [2x-1]. If A = {x:1 ≤ x ≤ 4}, find f(A). If B = {3, 4, 5, 6, 7}, find f(B). If C = {-9, -8}, find f¹(C). Is f one-to-one? Explain.

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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b)Suppose f: R_Z, where f(x) = [2x-1]. i. If A = {x:1 ≤ x ≤ 4}, find f(A). ii. If B = {3, 4, 5, 6, 7), find f(B). iii. If C = {-9, -8), find f¹(C). iv. Is f one-to-one? Explain.
Transcribed Image Text:b)Suppose f: R_Z, where f(x) = [2x-1]. i. If A = {x:1 ≤ x ≤ 4}, find f(A). ii. If B = {3, 4, 5, 6, 7), find f(B). iii. If C = {-9, -8), find f¹(C). iv. Is f one-to-one? Explain.
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