Find the Inverse Of $f$ Then Sketch the Graphs Of Then

question 30

Multiple Choice

Find the inverse of $f$ . Then sketch the graphs of $f$ and $f ^ { - 1 }$ on the same set of axes.
$f ( x ) = \sqrt { 16 - x ^ { 2 } } , x \geq 0$

• A) \(f^{-1}(x)=\sqrt{4+x^{2}}, x \geq 0\)
• B) \(f ^ { - 1 } ( x ) = - \sqrt { 16 - x ^ { 2 } } , x \geq 0\)
• C) \(f ^ { - 1 } ( x ) = \sqrt { 16 - x ^ { 2 } } , x \geq 0\)
• D) \(f ^ { - 1 } ( x ) = - \sqrt { 4 + x ^ { 2 } } , x \geq 0\)

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Definitions:

Auditory Cortex

The part of the brain that is responsible for processing auditory information, located in the temporal lobe.

Temporal Lobe

A region of the brain located at the sides of the head responsible for processing auditory information and involved in memory and emotion.

Medulla Oblongata

The lower portion of the brainstem controlling vital autonomic functions such as heartbeat, breathing, and blood pressure.

Cranial Nerve

One of twelve nerves that are directly connected to the brain, serving the head and neck.