Find the Indicated Function and Write Its Domain in Interval $$f ( x ) = \frac { 9 } { x ^ { 2 } - 11 } , g ( x ) = \sqrt { 4 - x } , ( f \circ g ) ( x ) = ?$$

question 138

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $$f ( x ) = \frac { 9 } { x ^ { 2 } - 11 } , g ( x ) = \sqrt { 4 - x } , ( f \circ g ) ( x ) = ?$$

• A) \(- \frac { 9 } { x + 7 } ; ( - \infty , - 7 ) \cup ( - 7 , \infty )\)
• B) \(- \frac { 9 } { x + 7 } ; ( - \infty , - 7 ) \cup ( - 7,4 ]\)
• C) \(\frac { 9 \sqrt { 4 - x } } { x ^ { 2 } - 11 } ; ( - \infty , \sqrt { 11 } ) \cup ( \sqrt { 11 } , 4 ]\)
• D) \(\frac { 9 \sqrt { 4 - x } } { x ^ { 2 } - 11 } ; ( - \infty , \sqrt { 11 } ) \cup ( \sqrt { 11 } , \infty )\)

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