(a)
To explain: An argument to show that the function
(a)
Explanation of Solution
Given information: The function is
Assume that
Simplify further.
It is given that
Therefore, it can be said that the given function is one-to-one as
(b)
To find: The formula for the inverse of the given function
(b)
Answer to Problem 62E
The formula for the inverse of the given function is
Explanation of Solution
Given information: The function is
Calculation:
Simplify the function for x in terms of y .
Interchange the terms x and y to find the inverse function.
Therefore, the formula for the inverse of the given function is
(c)
To find: The horizontal and vertical asymptotes of the given function
(c)
Answer to Problem 62E
The horizontal asymptote of the function is
Explanation of Solution
Given information: The function is
Calculation:
Simplify the given function.
As
It can be seen that the function
Therefore, the horizontal asymptote of the function is
(d)
To find: The horizontal and vertical asymptotes of the given function
(d)
Answer to Problem 62E
The horizontal asymptote of the function is
Explanation of Solution
Given information: The function is
Calculation:
From part (b), the inverse function is
Simplify the given function.
As
It can be seen that the function
Therefore, the horizontal asymptote of the function is
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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