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ItsLeyArt
07.04.2020 •
Mathematics
Determine the domain of the function, and choose the correct interval and inequality notations,
P(x) = 2x+8
Interval notation: (-
notation: (-
Inequality
)U(
why oo)
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Ответ:
Explanation:
Determining the domain of the function P(x) = 2x + 8 is very trivial and does not require the uses of separate intervals.
The domain of a function is the set of input values (x) for which the function is defined. Thus, the domain of P(x) = 2x + 8 is all the real number, which in interval notaion is:
(- ∞, ∞)The symbol ∞ is used to indicate that there is not limit for the value of x: it can goe from any negative number to any positive number).
For didactic purposes let's determine the domain of the function
P(x) = 2/(x+8).
In this case, the function is not defined when the denominator equals 0.
Then, the domain excludes the values for which x + 8 = 0.
x + 8 = 0 ⇒ x = - 8.Then, the solution is all the real numbers different to - 8.
In interval notation it is:
(- ∞, -8) ∪ (-8, ∞)In form of inequaliy that is:
x < - 8 ∪ x > - 8That means, all the real numbers less than - 8 and all the real numbers greater than 8.
Ответ:
Step-by-step explanation:
The surface area of right cone is calculated by the following formula
Where r is the radius of the cone and h is the height
In this case we know that the diameter d of the base is:
So the radius is:
and
So the area is: