Find the Domain of the Function $f ( x ) = \frac { x } { x - 3 }$

question 161

Short Answer

Find the domain of the function.
- $f ( x ) = \frac { x } { x - 3 }$
A) $\{ x \mid x < 0 \} , \text { or } ( - \infty , 0 )$
B) $\{ x \mid x \neq 3 \} , \text { or } ( - \infty , 3 ) \cup ( 3 , \infty )$
C) $\{ x \mid x \neq - 3 \} , \text { or } ( - \infty , - 3 ) \cup ( - 3 , \infty )$
D) $\{ x \mid x > 0 \} , \text { or } ( 0 , \infty )$

• A) \(\{ x \mid x < 0 \} , \text { or } ( - \infty , 0 )\)
• B) \(\{ x \mid x \neq 3 \} , \text { or } ( - \infty , 3 ) \cup ( 3 , \infty )\)
• C) \(\{ x \mid x \neq - 3 \} , \text { or } ( - \infty , - 3 ) \cup ( - 3 , \infty )\)
• D) \(\{ x \mid x > 0 \} , \text { or } ( 0 , \infty )\)

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