2x2-3x+7 7. Let f(x) = Find f(3). 5x2-2x 8. Suppose f (x) = Vx – 3 and g(x) = x² +5. Which o e following is a formula for (fo g)(x)? 9. Suppose f(x) = x² + 3 and g(x) = x - 2. Which of the following is a formula for (f - g)(x)? 10. Using the figure on the right and U = {a, b, c, d, e, f, g,h} being the universal set, find the elements of the set (X n Y)UZ. a e g Z. 11. consider the following sets: U = {-5,-4,–3,-2,–1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4, 5} C = {x:x² – 5x + 6 = 0}. a. What is A n B? b. Which is equal to B\C? c. Which set is equal to (B\A)°? d. What is the cardinality of a countably infinite set? SAPIEN

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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Question
III.3 COMPLETE SOLUTIONS
7. Let f(x) =
2x2-3x+7
Find f(3).
5x2-2x
8. Suppose f (x) = Vx – 3 and g(x) = x² +5. Which o e following is a formula for
(fog)(x)?
9. Suppose f(x) = x² + 3 and g(x) = x – 2. Which of the following is a formula for
f - g)(x)?
10. Using the figure on the right and U = {a, b, c, d, e, f, g,h} being the universal set, find the
elements of the set (X n Y)UZ.
U
a
e
g
Z.
11. consider the following sets:
U = {-5,–4,–3, –2,–1,0,1,2,3,4,5},
A = {x: x² = 25},
B = {-5,0,1,2,3,4, 5}
C = {x:x² – 5x + 6 = 0}.
a. What is A O B?
b. Which is equal to B\C?
c. Which set is equal to (B\A)°?
d. What is the cardinality of a countably infinite set?
APIEN
Transcribed Image Text:7. Let f(x) = 2x2-3x+7 Find f(3). 5x2-2x 8. Suppose f (x) = Vx – 3 and g(x) = x² +5. Which o e following is a formula for (fog)(x)? 9. Suppose f(x) = x² + 3 and g(x) = x – 2. Which of the following is a formula for f - g)(x)? 10. Using the figure on the right and U = {a, b, c, d, e, f, g,h} being the universal set, find the elements of the set (X n Y)UZ. U a e g Z. 11. consider the following sets: U = {-5,–4,–3, –2,–1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4, 5} C = {x:x² – 5x + 6 = 0}. a. What is A O B? b. Which is equal to B\C? c. Which set is equal to (B\A)°? d. What is the cardinality of a countably infinite set? APIEN
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