Find the domain.
-$$f ( x ) = \frac { 1 } { | 51 - x | }$$
A) $\{ x \mid x$ is a real number and $x z - 51 \}$
B) $\{ x \mid x$ is a real number and $x

Question

Find the domain.
-$$f ( x ) = \frac { 1 } { | 51 - x | }$$
A) $\{ x \mid x$ is a real number and $x z - 51 \}$
B) $\{ x \mid x$ is a real number and $x < 51 \}$
C) All real numbers
D) $\{ x \mid x$ is a real number and $x \neq 51 \}$

Quizplus · Accepted Answer

The function is undefined when the denominator is zero, which occurs when $|51 - x| = 0$, or $x = 51$. Thus, the domain includes all real numbers except $x = 51$.

Find the Domain f(x)=1∣51−x∣f ( x ) = \frac { 1 } { | 51 - x | }f(x)=∣51−x∣1​

Find the Domain $f ( x ) = \frac { 1 } { | 51 - x | }$