
(a)
To Find: The domain of the
(a)

Answer to Problem 58RE
The domain of the function is
Explanation of Solution
Given:
The given function is
Calculation:
Consider the given function is,
The function is defined for all the value of
(b)
To Find: The graph for the function
(b)

Explanation of Solution
Given:
The given function is
Calculation:
The graph for the given function is shown in Figure 1
Figure 1
(c)
To Find: The range and the asymptote of the graph.
(c)

Answer to Problem 58RE
The range of the function is,
Explanation of Solution
Given:
The given function is
Calculation:
Consider the given function,
The range of the above function is the set of all the real numbers that is,
Thus, the verticalasymptotes of the given function is,
(d)
To Find: The function
(d)

Answer to Problem 58RE
The inverse of the functions is
Explanation of Solution
Given:
The given function is
Calculation:
Consider the given function,
Then,
Then, the inverse of the function is,
Take the log of both the sides and solve as,
(e)
To Find: The range of the function.
(e)

Answer to Problem 58RE
The range of the function is
Explanation of Solution
Given:
The given function is
Calculation:
Consider the given function,
The domain of the function
(f)
To Find: The graph of the function
(f)

Explanation of Solution
Given:
The inverse of the function is
Calculation:
The graph for the inverse of the function is shown in Figure 2
Figure 2
Chapter 5 Solutions
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University Calculus: Early Transcendentals (4th Edition)
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