Answer:
Option b is correct
.
Step-by-step explanation:
Domain is the set of all possible values of x where function is defined.
Given the function:
To find the domain of the given function:
Exclude the values of x, for which function is not defined
Set denominator = 0
By zero product property;
and
⇒x = 0 and
⇒x = 0 and
Therefore, the domain of the given function is:
The values of x for which the rational expression is undefined are -6 and -8.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a rational function:
As we know in the rational function denominator cannot be zero:
The values of x for which the rational expression is undefined.
x² + 14x + 48 = 0
x = -6, -8
Thus, the values of x for which the rational expression is undefined are -6 and -8.
Learn more about the function here:
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