Find the Domain and Range of the Inverse of the Given

question 192

Multiple Choice

Find the domain and range of the inverse of the given function.
- $$f ( x ) = \sqrt { x - 2 }$$

• A) Domain: \([ 0 , \infty )\); range: \([ 2 , \infty )\)
• B) Domain and range: all real numbers
• C) Domain: \([ 2 , \infty )\); range: \([ 0 , \infty )\)
• D) Domain: all real numbers; range: \([ 2 , \infty )\)

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Definitions:

Glossopharyngeal

Relating to the ninth cranial nerve, important for swallowing, saliva production, and the sensation of taste and touch from the posterior part of the tongue.

Hypoglossal

Relating to the hypoglossal nerve, which is the twelfth cranial nerve responsible for motor function of most of the tongue muscles.

Abducens

Relating to the abducens nerve, which is the sixth cranial nerve responsible for controlling the movement of a muscle that abducts the eyeball (lateral rectus muscle).

Medulla Oblongata

The lowest part of the brainstem, controlling vital body functions such as breathing, heart rate, and blood pressure.