If a(x)=3x+1 and b(x)=square root of x-4, what is the domain of (b•a)(x)
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Answer:
Answer below in the picture:-
I hope it helps.
We are given speed and time for Junnie and Maurice.
We will use speed distance formula here to find the distance covered by Junnie and Maurice.
The formula is given by:
Distance covered by Junnie:
We are given speed of Junnie as 3.2 miles per hour and time taken by her is 2.5 hours.
Plugging these values to find distance:
Distance = 3.2 * 2.5 = 8 miles
Distance covered by Maurice:
We are given speed of Maurice as 4.1 miles per hour and time taken by her is 1.8 hours.
Plugging these values to find distance:
Distance = 4.1 * 1.8 = 7.38 miles
Distance covered by Maurice is 7.38 miles whereas that covered by Junnie is 8 miles.
(A) So it is clear that Junnie walked farther.
Now let us find how much farther did Junnie walked.
We can find that by finding the difference between the two distances.
Difference = Distance covered by Junnie - distance covered by Maurice
Difference = 8- 7.38 = 0.62
(B) So Junnie walked 0.62 miles farther.
so we have those critical values, which gives us the intervals of (-∞, 0] , [0, 6] and [6, +∞).
where is it increasing or decreasing? well, that's just a matter of checking a value on each region for the the first derivative, namely the first derivative test.
we can check for f(-1) = 12(-1)² - 72(-1), is a positive value, increasing.
and check f(1) = 12(1)² - 72(1), is a negative value, decreasing.
and check f(7) = 12(7)² - 72(7), positive, so increasing.
check the picture below, and you can see there which are the minima or maxima.
