Answer:
B) All the real numbers except 4.
Step-by-step explanation:
The given rational expression f(x) = [tex]\frac{6}{4 -x}[/tex]
To find the domain of the rational function, first we have to find the restricted domain.
To find the restricted domain set the denominator equal to zero.
4 - x = 0
x = 4
The restricted domain is at x = 4.
Which means the function does not exist when x = 4. When we plug in x =4 in the rational function, we get the denominator is 0.
Therefore, the function does not exist at x =- 4.
This means except 4 all the real numbers are the domain.
Hope this will help you to understand the concept.
Answer: B) All the real numbers except 4.
Thank you.
Answer:
All real number except 4.
Step-by-step explanation:
We are given that a function
[tex]f(x)[/tex]=six divided by quantity four minus x.
We have to state the domain the rational function
[tex]f(x)=\frac{6}{4-x}[/tex]
The rational function is defined for all values of x except but when x=4
Then we get denominator 4-4=0
Then , [tex]f(x)=\frac{6}{0}=\infty[/tex]
Therefore, function is not defined at x=4.
Domain : it is defined as the set of values of x at which function is defined .
Hence, domain of given function is all real numbers except 4.
