Find the Specified Domain $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )$

question 53

Multiple Choice

Find the specified domain.
-Find the domain of $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )$ when $\mathrm { f } ( \mathrm { x } ) = \frac { 5 } { \mathrm { x } - 3 }$ and $\mathrm { g } ( \mathrm { x } ) = 6 - \mathrm { x }$

• A) \(( - \infty , 3 ) \cup ( 3 , \infty )\)
• B) \(( - \infty , 6 ) \cup ( 6 , \infty )\)
• C) \(( - \infty , 3 ) \cup ( 3,6 ) \cup ( 6 , \infty )\)
• D) \(( - \infty , - 6 ) \cup ( - 6 , - 3 ) \cup ( - 3 , \infty )\)

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