Concept explainers
a.
To find: the domain of f.
a.
Answer to Problem 69RE
The domain is
Explanation of Solution
Given information: Let
Calculation:
The log of a negative number is undefined so
b.
To find: the range of f.
b.
Answer to Problem 69RE
The range is
Explanation of Solution
Given information:
Calculation:
All logarithmic functions have a range of all real numbers so the range is
c.
To find: arc the x-intercepts of the graph of f.
c.
Answer to Problem 69RE
The x − intercepts is
Explanation of Solution
Given information:
Calculation:
The x − intercepts are when y = 0, so:
The x − intercepts is
d.
To find:
d.
Answer to Problem 69RE
Explanation of Solution
Given information:
Calculation:
To find the inverse, switch x and y and then solve for y:
e.
To confirm: answer algebraically in part (d).
e.
Answer to Problem 69RE
Explanation of Solution
Given information:
Calculation:
To functions are inverses if
Therefore,
Chapter 1 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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