Let f {1,2,..., x f(x) 1 1 2 3 3 5 4 7 16}{1,2,..., 7} be defined by the following tables: f(x) x f(x) 2 9 4 4 1 6 3 2 5 x 5 6 7 8 10 11 12 x f(x) 2 1 3 1 13 14 15 16 Define a function g {1,2,..., 7} → {1,2,3,4} such that the composition h(x) g(f(x)) satisfies the following property: |h¯¹({i})| = 4 for all i € {1,2,3,4}. Define g by a table and compute each of the sets h-¹({i}).

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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Let f {1,2,..., 16} → {1,2,..., 7} be defined by the following tables:
x
f(x)
9
4
10
1
11
3
12 5
x f(x)
1
1
2
3
3
5
4
7
x f(x)
5
2
6
4
7
6
8
2
Define a function g {1,2,..., 7}
g(f(x)) satisfies the following property:
by a table and compute each of the sets h-¹({i}).
x f(x)
2
1
13
14
15 3
16
1
{1,2,3,4} such that the composition h(x)
|h¯¹({i})| = 4 for all i € {1,2,3,4}. Define g
:
Transcribed Image Text:Let f {1,2,..., 16} → {1,2,..., 7} be defined by the following tables: x f(x) 9 4 10 1 11 3 12 5 x f(x) 1 1 2 3 3 5 4 7 x f(x) 5 2 6 4 7 6 8 2 Define a function g {1,2,..., 7} g(f(x)) satisfies the following property: by a table and compute each of the sets h-¹({i}). x f(x) 2 1 13 14 15 3 16 1 {1,2,3,4} such that the composition h(x) |h¯¹({i})| = 4 for all i € {1,2,3,4}. Define g :
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