In Problems 23-38, for the given functions and , find:
a.
b.
c.
d.
State the domain of each composite function.
;
To find:
a.
State the domain of each composite function.
;
Answer to Problem 29AYU
a. The domain of .
Explanation of Solution
Given:
;
Calculation:
The domain of and the domain of are the set of all real numbers.
Because the domains of both and are the set of all real numbers, the domain of is the set of all real numbers.
We know the composite function of and is defined as,
To find:
b.
State the domain of each composite function.
;
Answer to Problem 29AYU
b. The domain of .
Explanation of Solution
Given:
;
Calculation:
The domain of and the domain of are the set of all real numbers.
Because the domains of both and are the set of all real numbers, the domain of is the set of all real numbers.
We know the composite function of and is defined as,
Also,
To find:
c.
State the domain of each composite function.
;
Answer to Problem 29AYU
c. The domain of .
Explanation of Solution
Given:
;
Calculation:
The domain of and the domain of are the set of all real numbers.
Because the domains of both and are the set of all real numbers, the domain of is the set of all real numbers.
We know the composite function of and is defined as,
Also,
To find:
d.
State the domain of each composite function.
;
Answer to Problem 29AYU
d. The domain of .
Explanation of Solution
Given:
;
Calculation:
The domain of and the domain of are the set of all real numbers.
Because the domains of both and are the set of all real numbers, the domain of is the set of all real numbers.
We know the composite function of and is defined as,
Also,
Chapter 5 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus and Its Applications (11th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Glencoe Math Accelerated, Student Edition
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