Specify the Domain Of $( g \circ f ) ( x )$

question 37

Multiple Choice

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 7 } { 4 x }$ and $g ( x ) = \frac { 1 } { x + 3 }$ .

• A) \(( - \infty , - 3 ) \cup ( - 3,0 ) \cup ( 0 , \infty )\)
• B) \(( - \infty , - 3 ) \cup ( - 3 , \infty )\)
• C) \(( - \infty , - 3 ) \cup ( 0 , \infty )\)
• D) \(\left( - \infty , - \frac { 7 } { 12 } \right) \cup \left( - \frac { 7 } { 12 } , 0 \right) \cup ( 0 , \infty )\)
• E) \(( - \infty , 0 ) \cup ( 0 , \infty )\)

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Definitions:

Midsagittal

Relating to a plane that divides the body into equal right and left halves.

Transverse

Positioned or extending across something, typically at a right angle to the longest dimension.

Frontal

Pertaining to the forehead or the frontal bone of the skull.

Cavity

An empty or hollow space within a solid structure or object.