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Determine if the functions in each pair are equivalent. Provide mathematical proof or justification for your answer – algebraic or by substituting x = 0. a) f (x) = (-5x² + 100x + 1000) – (-5x² + 75x + 1200) and g(x) = 25x – 200 b) f (x) = (2x – 1) + (x – 2) – (x – 3) and g(x) = (3x – 2) – (2x + 3) – (-x – 1)

Determine if the functions in each pair are equivalent. Provide mathematical proof or justification for your answer – algebraic or by substituting x = 0. a) f (x) = (-5x² + 100x + 1000) – (-5x² + 75x + 1200) and g(x) = 25x – 200 b) f (x) = (2x – 1) + (x – 2) – (x – 3) and g(x) = (3x – 2) – (2x + 3) – (-x – 1)

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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Question
Determine if the functions in each pair are equivalent. Provide mathematical proof or justification for your answer – algebraic or by substituting x = 0. a) f (x) = (-5x² + 100x + 1000) – (-5x² + 75x + 1200) and g(x) = 25x – 200 b) f(x) = (2x – 1) + (x – 2) – (x – 3) and g(x) = (3x – 2) – (2x + 3) – (-x – 1)
Transcribed Image Text:Determine if the functions in each pair are equivalent. Provide mathematical proof or justification for your answer – algebraic or by substituting x = 0. a) f (x) = (-5x² + 100x + 1000) – (-5x² + 75x + 1200) and g(x) = 25x – 200 b) f(x) = (2x – 1) + (x – 2) – (x – 3) and g(x) = (3x – 2) – (2x + 3) – (-x – 1)
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