In Problems 23-38, for the given functions and , find:
a.
b.
c.
d.
State the domain of each composite function.
;
To find:
a. for the given functions and ,
State the domain of each composite function.
Answer to Problem 34AYU
Solution:
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. for the given functions and ,
State the domain of each composite function.
Answer to Problem 34AYU
Solution:
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. for the given functions and ,
State the domain of each composite function.
Answer to Problem 34AYU
Solution:
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. for the given functions and ,
State the domain of each composite function.
Answer to Problem 34AYU
Solution:
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
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