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D) What is (goh) '(I)? E) Is h(R) countable?

D) What is (goh) '(I)? E) Is h(R) countable?

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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i need D and E solution

Let f be a function from A to B. Let S be a subset of B. We define f(S). the inverse image of S as follows: f (S) = {a € A| f(a) E S} Now let g : R → R, h : R → R be functions where g(x) = 1 +1 and h(x) = [x]. %3D Let I = (0, 1] and J = {1,2,3, 4}. %3D A) What is (goh)(z)? B) What is (goh)(I)? C) What is (goh) '(J)? D) What is (goh) '(I)? E) Is h(R) countable?
Transcribed Image Text:Let f be a function from A to B. Let S be a subset of B. We define f(S). the inverse image of S as follows: f (S) = {a € A| f(a) E S} Now let g : R → R, h : R → R be functions where g(x) = 1 +1 and h(x) = [x]. %3D Let I = (0, 1] and J = {1,2,3, 4}. %3D A) What is (goh)(z)? B) What is (goh)(I)? C) What is (goh) '(J)? D) What is (goh) '(I)? E) Is h(R) countable?
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