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

All real numbers except .

Step-by-step explanation:

The given function is

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 .

So the domain is all real numbers except

We solve for to obtain,

or .

Therefore the domain is all real numbers except .