Given $f ( x ) = \frac { 10 } { x ^ { 2 } - 9 }$

question 47

Multiple Choice

Given $f ( x ) = \frac { 10 } { x ^ { 2 } - 9 }$ and $g ( x ) = x + 3$ determine the domain of $f \circ g$ .

• A) \(( - \infty , - 3 ) \cup ( 3 , \infty )\)
• B) \(( - \infty , - 6 ) \cup ( - 6,0 ) \cup ( 0 , \infty )\)
• C) \(\left( - \infty , - \frac { 10 } { 3 } \right) \cup \left( \frac { 10 } { 3 } , \infty \right)\)
• D) \(( - \infty , - 3 ) \cup ( - 3,3 ) \cup ( 3 , \infty )\)
• E) \(( - \infty , \infty )\)

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