Find the domain.
-$$f ( x ) = \frac { - 2 } { 4 - x }$$
A) $\{ x \mid x$ is a real number and $x z - 4 \}$
B) $\{ x \mid x$ is a real number and $x \neq 4\}$.
C) $\{ x \mid x$ is a real number and $x \neq 2\}$
D) $\{ x \mid x$ is a real number and $x \neq - 2 \}$

Question

Quizplus · Accepted Answer

The only restriction on the domain of the function is that the denominator cannot be equal to zero, otherwise the function is undefined. Solving the equation $4-x=0$ gives $x=4$, so the only excluded value in the domain is $x=4$. Therefore, the domain is all real numbers except for $x=4$, which is expressed as $\{ x \mid x 	ext{ is a real number and } x
eq 4\}$. So the correct choice is B.

Find the Domain f(x)=−24−xf ( x ) = \frac { - 2 } { 4 - x }f(x)=4−x−2​

Find the Domain $f ( x ) = \frac { - 2 } { 4 - x }$