2. Let f: RR by f(x) = -2x + 1. Let A = [2,5] B = [-1,3] C = [−2,3] D = [1, 4]. Find each of the following: (a) f(A) * (b) f-¹(f(A)) (c) f-¹(C) * (d) f(f¹(C)) * (e) f(ANB) *(f) f(A) f(B) (g) f¹(CD) (h) f(C)nf¹ (D)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Let f: RR by f(x) = -2x + 1. Let
A = [2,5]
B = [-1,3]
C = [−2,3]
D = [1, 4].
Find each of the following:
(a) f(A)
* (b) f-¹(f(A))
(c) f-¹(C)
* (d) f(f¹(C))
* (e) f(ANB)
*(f) f(A) f(B)
(g) f¹(CD)
(h) f(C)nf¹ (D)
Transcribed Image Text:2. Let f: RR by f(x) = -2x + 1. Let A = [2,5] B = [-1,3] C = [−2,3] D = [1, 4]. Find each of the following: (a) f(A) * (b) f-¹(f(A)) (c) f-¹(C) * (d) f(f¹(C)) * (e) f(ANB) *(f) f(A) f(B) (g) f¹(CD) (h) f(C)nf¹ (D)
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