
Concept explainers
a.
To show : that
a.

Explanation of Solution
Given information :
The functionsare
Prove : if
Now, substitute the x of function f by function
Thus, the functions are inverse function.
b.
To show : that
b.

Explanation of Solution
Given information :
The functions are
Prove : by using graphing utility, enter
x | ||
4 | 15 | |
5 | 24 | |
6 | 35 | |
7 | 48 |
By using these points and table, the graph can be obtained as:
Form the above graph it can be observed that the graph of both function is reflection in the line
Thus, the functions are inverse function.
c.
To show : that
c.

Explanation of Solution
Given information :
The functions are
Prove : to show the functions are inverse function numerically, by using a graphing utility.
Enter
8 | 8 | 8 |
9 | 9 | 9 |
10 | 10 | 10 |
11 | 11 | 11 |
12 | 12 | 12 |
From the table it can be observed that the entries for x ,
Thus, the functions are inverse function.
Chapter 1 Solutions
Precalculus with Limits: A Graphing Approach
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