i need this question competed in 5 minutes with handwritten working out Let A, B, and C be the following setsA = {1,2,3,4}, B = {x,y,z},Let f: A → B and g: B → C be the following functions.C = {x, p, r, d, e}.ƒ = {(1, y), (2,y), (3,x),(4,x)} g = {(x, a), (y, e), (z, 8)}.Write down the ordered pairs in the composition go f.

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Answered: Let A, B, and C be the following sets A…

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 this question competed in 5 minutes with handwritten working out

Let A, B, and C be the following sets
A = {1,2,3,4}, B = {x,y,z},
Let f: A → B and g: B → C be the following functions.
C = {x, p, r, d, e}.
ƒ = {(1, y), (2,y), (3,x),(4,x)} g = {(x, a), (y, e), (z, 8)}.
Write down the ordered pairs in the composition go f.

Expert Solution

Step 1: Introduction of the given problem

$f colon A rightwards arrow B g colon B rightwards arrow C f equals open curly brackets open parentheses 1 comma y close parentheses comma open parentheses 2 comma y close parentheses comma open parentheses 3 comma x close parentheses comma space open parentheses 4 comma x close parentheses close curly brackets g equals open curly brackets open parentheses x comma alpha close parentheses comma open parentheses y comma ϵ close parentheses comma open parentheses z comma delta close parentheses close curly brackets$