Answer:
A: {x|x = -6, -1,0, 3}
Step-by-step explanation:
The domain is x and x is the input so the domain is all of the numbers in the input.
The RPM at which the engine is putting out Maximum power is 6875 RPM.
The maximum horsepower is; 1548.521 HP
<h3>How to find the maximum value of a function?</h3>
We are told that the engine in a car has a power curve approximated by;
y = -x²/30000 + 22x/48 - 27
where;
x is the RPM
y is the horsepower generated
A) The RPM that generates the most power would be the value of x at dy/dx = o
Thus;
dy/dx = -2x/30000 + 22/48
At dy/dx = 0;
-2x/30000 + 22/48 = 0
22/48 = 2x/30000
2x = (22 * 30000)/48
x = (22 * 30000)(2 * 48)
x = 6875 RPM
B) Maximum horsepower would be;
y(6875) = -(6875)²/30000 + 22(6875)/48 - 27
= 1548.521 HP
Read more about Maximum value of a function at; brainly.com/question/5722003
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