Answer:
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.
Then, the solution is all the real numbers different to - 8.
In interval notation it is:
In form of inequaliy that is:
That means, all the real numbers less than - 8 and all the real numbers greater than 8.
Answer:
Step-by-step explanation:
Interval notation:
1: -4
2:-4
Inequality:
x>-4 or x<-4
