Determine the interval(s) where H(x) is continuous. Combine multiple intervals with the union symbol. Write the exact answer. Do not round. H(x) = cos 2ln(x - 2) + 1 √√x² - 4x - 12
Determine the interval(s) where H(x) is continuous. Combine multiple intervals with the union symbol. Write the exact answer. Do not round. H(x) = cos 2ln(x - 2) + 1 √√x² - 4x - 12
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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![**Problem Statement:**
Determine the interval(s) where \( H(x) \) is continuous. Combine multiple intervals with the union symbol. Write the exact answer. Do not round.
\[
H(x) = \cos \left( \frac{2\ln(x - 2) + 1}{\sqrt[3]{x^2 - 4x - 12}} \right)
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fa35088-fa5f-472d-877a-bca1a109875f%2F37893518-f6a5-4bf9-bae4-ec3f5011fa62%2Febceuw2_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Determine the interval(s) where \( H(x) \) is continuous. Combine multiple intervals with the union symbol. Write the exact answer. Do not round.
\[
H(x) = \cos \left( \frac{2\ln(x - 2) + 1}{\sqrt[3]{x^2 - 4x - 12}} \right)
\]
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