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3. Consider the functions_f(x)=(x-a)(x−b), g(x)=(x−p)(x−q)_and_h(x)= g(x) If a‡b‡p‡q, then a) which two functions have the same set of zeros? b) does h(x) have any asymptote(s)? What is/are the vertical asymptotes of h(x) if that exists?

3. Consider the functions_f(x)=(x-a)(x−b), g(x)=(x−p)(x−q)_and_h(x)= g(x) If a‡b‡p‡q, then a) which two functions have the same set of zeros? b) does h(x) have any asymptote(s)? What is/are the vertical asymptotes of h(x) if that exists?

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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3. Consider the functions f(x)=(x-a)(x−b),g(x)=(x-p)(x−q) _and_h(x)=f(x) g(x) If a‡b‡p‡q, then a) which two functions have the same set of zeros? b) does h(x) have any asymptote(s)? What is/are the vertical asymptotes of h(x) if that exists?
Transcribed Image Text:3. Consider the functions f(x)=(x-a)(x−b),g(x)=(x-p)(x−q) _and_h(x)=f(x) g(x) If a‡b‡p‡q, then a) which two functions have the same set of zeros? b) does h(x) have any asymptote(s)? What is/are the vertical asymptotes of h(x) if that exists?
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