For the Given Functions F and G, Find the Requested $f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$

question 44

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$
Find $f + g$ .

• A) \(( f + g ) ( x ) = - x ^ { 2 } - x + 20 ; \{ x \mid x \neq 4 , x \neq - 5 \}\)
• B) \(( f + g ) ( x ) = 4 + x ; \{ x \mid x \neq - 4 \}\)
• C) \(( f + g ) ( x ) = - x ^ { 2 } + x + 12 ;\) all real numbers
• D) \(( f + g ) ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 16 x + 64\); all real numbers

Identify the structures and their specific functions within different parts of the ear.

Understand the roles of the inner, middle, and external ear in hearing and balance.

Distinguish between components related to the cochlea and vestibular system.

Recognize the anatomical paths sound waves travel to reach the auditory receptors.

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