Decide Whether or Not the Functions Are Inverses of Each $f ( x ) = \sqrt { x + 2 } , x \geq - 2 ; \quad g ( x ) = x ^ { 2 } + 2$

question 368

Multiple Choice

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and g are inverses.
- $f ( x ) = \sqrt { x + 2 } , x \geq - 2 ; \quad g ( x ) = x ^ { 2 } + 2$

• A) \(\mathrm { No }\)
• B) Yes

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Definitions:

Sternocleidomastoid

A muscle in the side of the neck that runs from the sternum and clavicle up to the mastoid process of the temporal bone.

Sternohyoid

A muscle in the neck that runs from the sternum to the hyoid bone, playing a role in the movement of the hyoid bone and larynx during swallowing and speaking.

Clavicle

A bone located in the shoulder region, commonly known as the collarbone.

Prime Mover

The muscle primarily responsible for generating a specific movement.