Chapter 5: Q. 81 (page 284)
If , what does equal?
Short Answer
The value ofis.
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Chapter 5: Q. 81 (page 284)
If , what does equal?
The value ofis.
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Vehicle Stopping Distance Taking into account reaction time, the distance (in feet) that a car requires to come to a complete stop while traveling miles per hour is given by the function
localid="1646198784356"
a. Express the speed at which the car is traveling as a function of the distance localid="1646198792401" required to come to a complete stop
b. Verify that localid="1646198797631" is the inverse of localid="1646198802104" by showing that localid="1646198806352" and localid="1646198811055"
c. Predict the speed that a car was traveling if the distance required to stop was localid="1646198818232" feet.
The function is not one-to-one. Find a suitable restriction on the domain of so that the new function that results is one-to-one. Then find the inverse of .
Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.
For an exponential function,
In Problems 61–72, the function f is one-to-one. Find its inverse and check your answer.
Do you think that there is a power function that increases
more rapidly than an exponential function whose base is greater than 1 ? Explain.
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