To Show: The given function is continuous by using theorem
Answer to Problem 35E
The domain of both the expression
Explanation of Solution
Given:
Calculation:
Theorem 7:
If
Given function,
Show
Since
Since
Since
Show
The domain of the expression
In this case, there is no real number that makes the expression undefined.
Interval Notation:
Set-Builder Notation:
Since the domain is all real numbers,
Hence, the given composite function is continuous everywhere.
Chapter 1 Solutions
CALCULUS-W/XL ACCESS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning