Problem 9.4. Let ƒ : R → R. Determine ƒ[A] and f-¹[A] when: (1) f(x) = x² for x € R and A = [−1,1), (2) f(x) = x³ for x ER and A = [-1, 1), (3) f(x) = sin(x) for x = R and A = [−1, 1), TD
Problem 9.4. Let ƒ : R → R. Determine ƒ[A] and f-¹[A] when: (1) f(x) = x² for x € R and A = [−1,1), (2) f(x) = x³ for x ER and A = [-1, 1), (3) f(x) = sin(x) for x = R and A = [−1, 1), TD
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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![Problem 9.4. Let ƒ : R → R. Determine ƒ[A] and f¯¹[A] when:
(1) ƒ(x) = x² for x € R and A = [−1, 1),
(2) f(x) = x³ for x € R and A = [−1,1),
(3) f(x) = sin(x) for x E R and A
(4) f(x) = sin(x) for x = R and A
=
=
(5) ƒ(x) =
(6) f(x) =
=
[−1, 1),
[-T₂ ₂π],
[−1, 1),
for x ER and A = [−π, π].
1
„²+1 for æ € R and A =
1
x²+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d51118f-7e07-47a5-afbe-93a2b7067b86%2F99cc2b91-766a-4215-9eed-bdf7b8ae8fa1%2Ffptbt1_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 9.4. Let ƒ : R → R. Determine ƒ[A] and f¯¹[A] when:
(1) ƒ(x) = x² for x € R and A = [−1, 1),
(2) f(x) = x³ for x € R and A = [−1,1),
(3) f(x) = sin(x) for x E R and A
(4) f(x) = sin(x) for x = R and A
=
=
(5) ƒ(x) =
(6) f(x) =
=
[−1, 1),
[-T₂ ₂π],
[−1, 1),
for x ER and A = [−π, π].
1
„²+1 for æ € R and A =
1
x²+1
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