Q9:
Find for and state the domain.
Q10:
Find for .
Q11:
The following tables are partially filled for functions and that are inverses of each other. Determine the values of and .
1 | 2 | 3 | 4 | 6 | ||
1 | 14 |
1 | ||||||
1 | 2 | b | c | 5 | 6 |
Q12:
A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a function of time, , given in hours by . Find the inverse function expressing the time of travel in terms of the distance traveled. Find .
Q13:
Use the table to find .
15 | 30 | 45 | 60 | |
20 | 25 | 30 | 35 |
Q14:
The solid part of the following graph of shows how we can restrict the domain to obtain an inverse.
What is the domain of the inverse?
What is the range of the inverse?
Give a formula for the inverse.
Q15:
Jacob is trying to find the inverse of . He sets and then finds and then . What does Tom determine to be?
Q16:
Does the function , where , have an inverse?
Q17:
Which of the following pairs of functions are inverses for all ?
Q18:
Which of the following functions does not have an inverse over its whole domain?
Q19:
Solve .
Q20:
The period , in seconds, of a simple pendulum as a function of its length , in feet, is given by . Express as a function of , and determine the length of a pendulum with a period of 2 seconds.
Q21:
Find the inverse of the function , where .
Q22:
For what numbers can we solve ?
Q23:
The figure below represents the function . Find the value of .
Q24:
Find the inverse of the function .
Q25:
Find the inverse of the function .