if i could get some help with question 1e) that would be great! 1. Given that f(x) = {(1, 3), (2, 9), (5, 7), (11, 9)) and g(x) = {(2, 8), (3, 1), (4, 5), (9, 1), (11, 0)} Determine the following a. F(x) + g(x) F(x) domain is: (1, 2, 5, 11) G(x) domain is (2, 3, 4, 9, 11) E(2)+g(2) = 9+8 = 17 E(11)+ g(11) =9+0 =9 d. Therefore f(x) + g(x) = {(2, 17), (11,9)} b. G(x)-f(x) G(2)-f(2) =8-9 =-1 G(11)-f(11) =0-9 =-9 Therefore, g(x)-f(x) = {(2, -1), (11, -9)} c. F(x) x g(x) E(2) xg(2) =9x8 = 72 E(11) x g(110 =9x0 =0 Therefore, f(x) x g(x) = {(2,72), (11, 0)) f(x) g(x) f(3) f(11) (11) 81 Therefore(2).(11.00)) e. F-g(x)

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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if i could get some help with question 1e) that would be great!
1. Given that f(x) = {(1, 3), (2, 9), (5, 7), (11, 9)) and g(x) = {(2, 8), (3, 1), (4, 5), (9, 1), (11, 0)}
Determine the following
a.
F(x) + g(x)
F(x) domain is: (1, 2, 5, 11)
G(x) domain is (2, 3, 4, 9, 11)
E(2)+g(2)
= 9+8
= 17
E(11)+g(11)
=9+0
=9
Therefore f(x) + g(x) = {(2, 17), (11,9)}
b. G(x)-f(x)
G(2)-f(2)
=8-9
=-1
G(11)-f(11)
=0-9
=-9
Therefore, g(x)-f(x) = {(2, -1), (11,-9)}
c. F(x) x g(x)
E(2) x g(2)
=9x8
= 72
E(11) x g(110
=9x0
=0
Therefore, f(x) x g(x) = {(2, 72), (11, 0))
d. (x)
g(x)
(2)
f(11)
(11)
=1
Therefore(2).(11.00))
e. F-g(x)
the symbol inbetween is for multiplying but idk how to go about it
Transcribed Image Text:if i could get some help with question 1e) that would be great! 1. Given that f(x) = {(1, 3), (2, 9), (5, 7), (11, 9)) and g(x) = {(2, 8), (3, 1), (4, 5), (9, 1), (11, 0)} Determine the following a. F(x) + g(x) F(x) domain is: (1, 2, 5, 11) G(x) domain is (2, 3, 4, 9, 11) E(2)+g(2) = 9+8 = 17 E(11)+g(11) =9+0 =9 Therefore f(x) + g(x) = {(2, 17), (11,9)} b. G(x)-f(x) G(2)-f(2) =8-9 =-1 G(11)-f(11) =0-9 =-9 Therefore, g(x)-f(x) = {(2, -1), (11,-9)} c. F(x) x g(x) E(2) x g(2) =9x8 = 72 E(11) x g(110 =9x0 =0 Therefore, f(x) x g(x) = {(2, 72), (11, 0)) d. (x) g(x) (2) f(11) (11) =1 Therefore(2).(11.00)) e. F-g(x) the symbol inbetween is for multiplying but idk how to go about it
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