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2. Consider the functions s and g pictured below y=s(t) -4 -2 4+ 2- -2- -4- 2 4 8 i. (s-g)(1) ii. (g-s)(3) (e) Find the domains and ranges of sog, gos, and 3 2 1 (a) Find the domain and range of both s and g.. (b) Determine a piecewise formula for the function s(t). (c) Determine a piecewise formula for the function g(t). (d) Determine each of the following quantities or explain why they are not defined 2 3 iii. (sog)(²) iv. (gos)(-4)

2. Consider the functions s and g pictured below y=s(t) -4 -2 4+ 2- -2- -4- 2 4 8 i. (s-g)(1) ii. (g-s)(3) (e) Find the domains and ranges of sog, gos, and 3 2 1 (a) Find the domain and range of both s and g.. (b) Determine a piecewise formula for the function s(t). (c) Determine a piecewise formula for the function g(t). (d) Determine each of the following quantities or explain why they are not defined 2 3 iii. (sog)(²) iv. (gos)(-4)

Advanced Engineering Mathematics
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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2. Consider the functions s and g pictured below 4 y=s(t) 8 3+ 2 2+ ZA 2 4 14 -2- -4 -2 -4- i. (s.g)(1) ii. (g - s) (3) 14 (a) Find the domain and range of both s and g. (b) Determine a piecewise formula for the function s(t). (c) Determine a piecewise formula for the function g(t). (d) Determine each of the following quantities or explain why they are not defined (e) Find the domains and ranges of so g, gos, and ². 9 2 iii. (sog)(²) iv. (gos)(-4) 3
Transcribed Image Text:2. Consider the functions s and g pictured below 4 y=s(t) 8 3+ 2 2+ ZA 2 4 14 -2- -4 -2 -4- i. (s.g)(1) ii. (g - s) (3) 14 (a) Find the domain and range of both s and g. (b) Determine a piecewise formula for the function s(t). (c) Determine a piecewise formula for the function g(t). (d) Determine each of the following quantities or explain why they are not defined (e) Find the domains and ranges of so g, gos, and ². 9 2 iii. (sog)(²) iv. (gos)(-4) 3
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