Find the Domain of the Composite Function F $f ^ { \circ } g$

question 486

Multiple Choice

Find the domain of the composite function f $f ^ { \circ } g$
- $$f ( x ) = \frac { x } { x + 7 } ; \quad g ( x ) = \frac { 7 } { x + 5 }$$

• A) \(\{ x \mid x \neq - 5 , x \neq - 6 \}\)
• B) \(\{ x \mid x \neq 0 , x \neq - 5 , x \neq - 6 \}\)
• C) \(\{ x \mid x\) is any real number \(\}\)
• D) \(\{ x \mid x \neq - 5 , x \neq - 7 \}\)