Find the Indicated Function and Write Its Domain in Interval $$n ( x ) = x - 5 , p ( x ) = x ^ { 2 } + 6 x , ( p \circ n ) ( x ) = \text { ? }$$

question 235

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $$n ( x ) = x - 5 , p ( x ) = x ^ { 2 } + 6 x , ( p \circ n ) ( x ) = \text { ? }$$

• A) \(( p \circ n ) ( x ) = x ^ { 2 } - 4 x - 5\); domain \(( - \infty , - 6 ) \cup ( - 6 , \infty )\)
• B) \(( p \circ n ) ( x ) = x ^ { 2 } + 6 x - 5\); domain \(( - \infty , \infty )\)
• C) \(( p \circ n ) ( x ) = x ^ { 2 } + 6 x - 5 ;\) domain \([ 0 , \infty )\)
• D) \(( p \circ n ) ( x ) = x ^ { 2 } - 4 x - 5\); domain \(( - \infty , \infty )\)

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Definitions:

Jugular Foramen

A large opening in the base of the skull that allows for the passage of the jugular vein and several important nerves.

Transverse Foramen

Openings in the cervical vertebrae for the passage of the vertebral artery and vein, along with sympathetic nerve fibers.

Vertebral Foramen

The central canal in a vertebra through which the spinal cord passes.

Lamina

A part of the vertebral arch in the spinal column that forms the back portion of the spinal ring.