Find the Indicated Function and Write Its Domain in Interval $s ( x ) = \frac { x - 5 } { x ^ { 2 } - 36 } , t ( x ) = \frac { x - 6 } { 5 - x } , ( s + t ) ( x ) = ?$

question 62

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $s ( x ) = \frac { x - 5 } { x ^ { 2 } - 36 } , t ( x ) = \frac { x - 6 } { 5 - x } , ( s + t ) ( x ) = ?$

• A) \(\frac { x ^ { 3 } - 5 x ^ { 2 } - 46 x + 241 } { ( x + 6 ) ( x - 6 ) ( x - 5 ) } ; ( - \infty , - 6 ) \cup ( 6 , \infty )\)
• B) \(- \frac { x ^ { 3 } - 7 x ^ { 2 } - 26 x + 191 } { ( x + 6 ) ( x - 6 ) ( x - 5 ) } ; ( - \infty , - 6 ) \cup ( 6 , \infty )\)
• C) \(- \frac { x ^ { 3 } - 7 x ^ { 2 } - 26 x + 191 } { ( x + 6 ) ( x - 6 ) ( x - 5 ) } ; ( - \infty , - 6 ) \cup ( - 6,5 ) \cup ( 5,6 ) \cup ( 6 , \infty )\)
• D) \(\frac { x ^ { 3 } - 5 x ^ { 2 } - 46 x + 241 } { ( x + 6 ) ( x - 6 ) ( x - 5 ) } ; ( - \infty , - 6 ) \cup ( - 6,5 ) \cup ( 5,6 ) \cup ( 6 , \infty )\)

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