Find the Indicated Function and Write Its Domain in Interval $$f ( x ) = \frac { x } { x - 1 } , g ( x ) = \frac { 36 } { x ^ { 2 } - 64 } , ( f \circ g ) ( x ) = ?$$

question 70

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $$f ( x ) = \frac { x } { x - 1 } , g ( x ) = \frac { 36 } { x ^ { 2 } - 64 } , ( f \circ g ) ( x ) = ?$$

• A) \(\frac { 36 } { 100 - x ^ { 2 } } ; ( - \infty , - 10 ) \cup ( - 10,10 ) \cup ( 10 , \infty )\)
• B) \(\frac { 36 } { 100 - x ^ { 2 } } ; ( - \infty , - 10 ) \cup ( - 10 , - 8 ) \cup ( - 8,8 ) \cup ( 8,10 ) \cup ( 10 , \infty )\)
• C) \(\frac { 36 } { x ^ { 2 } + 100 } ; ( - \infty , \infty )\)
• D) \(\frac { 36 } { x ^ { 2 } + 100 } ; ( - \infty , - 8 ) \cup ( - 8,8 ) \cup ( 8 , \infty )\)

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