For the function f, use composition of functions to show that f-1 is as given.
, 
What will be an ideal response?
Answers may vary. One possible solution is:
1. (f-1 ? f)(x) = f-1(f(x)) = f-1
= - 
= x;
2. (f ? f-1)(x) = f(f-1(x)) = f
= - 
= x
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Provide an appropriate response.Graph y = - tan x and its derivative together on 
. Does the graph of 
appear to have a smallest slope? If so, what is it? If not, explain.
What will be an ideal response?
Find the volume.Find the volume of a sphere with radius 1.5 ft Use 3.14 for ?. Round to the nearest thousandth, if necessary.
A. 9.42 ft3 B. 14.13 ft3 C. 113.04 ft3 D. 7.948 ft3
Solve the problem.It has been found that the less income people have, the more likely they are to report that their health is fair or poor. The function 
models the percentage of Americans reporting fair or poor health, f(x), in terms of annual income, x, in thousands of dollars. Find and interpret f(24).
A. f(24) ? 16.4; 24% of Americans earning $16.4 thousand annually report fair or poor health. B. f(24) ? $17.4; 24% of Americans earning $17.4 thousand annually report fair or poor health. C. f(24) ? 17.4; 17.4% of Americans earning $24 thousand annually report fair or poor health. D. f(24) ? 16.4; 16.4% of Americans earning $24 thousand annually report fair or poor health.
Two woodworkers, Tom and Carlos, earn a profit of $95 for making a table and $68 for making a chair. On average, Tom must work 3 hours and Carlos 2 hours to make a chair. Tom must work 2 hours and Carlos 6 hours to make a table. If neither wishes to work more than 42 hours per week, how many tables and how many chairs should they make each week to maximize their income? The information is summarized in Illustration. TableChairTime availableProfit (dollars)9568 Tom's time (hours)2342Carlos' time (hours)6242?
A. no tables and 21 chairs: $1,995 B. 12 tables and 3 chairs: $1,344 C. 13 tables and 2chairs: $1,344 D. 3 tables and 12 chairs: $1,101 E. none of these