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State the domain of the rational function. (2 points)
f(x) = six divided by quantity four minus x.


All real numbers except 6

All real numbers except 4

All real numbers except -6 and 6

All real numbers except -4 and 4

State the domain of the rational function 2 points fx six divided by quantity four minus x All real numbers except 6 All real numbers except 4 All real numbers class=

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Answer:

All real numbers except [tex]4[/tex].

Step-by-step explanation:

The given function is

[tex]f(x)=\frac{6}{4-x}[/tex]


This is a rational function.


The domain of a rational function is all real numbers except values that will make the denominator zero.


The denominator of the given function is [tex]4-x[/tex].


So the domain is all real numbers except

[tex]4-x=0[/tex]

We solve for [tex]x[/tex] to obtain,

[tex]4=x[/tex] or [tex]x=4[/tex].


Therefore the domain is all real numbers except [tex]x=4[/tex].

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