Find the Domain and Range for the Indicated Function $f ( x ) = \sqrt { x + 13 } , \quad g ( x ) = \sqrt { x - 13 }$

question 51

Multiple Choice

Find the domain and range for the indicated function.
- $f ( x ) = \sqrt { x + 13 } , \quad g ( x ) = \sqrt { x - 13 }$ ; $g-f$

• A) D: \(x \geq 13\)
• R: \(y \geq 0\)
• B) \(\mathrm { D } : \mathrm { x } \geq 13\)
• R: \(y \geq - \sqrt { 26 }\)
• C) D: \(x \geq 13\)
• R: \(y \geq \sqrt { 26 }\)
• D) D: \(x \geq - 13\)
• R: \(y \geq - \sqrt { 26 }\)

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Definitions:

Respiratory Tubes

Tubes that are part of the respiratory system, facilitating air movement to and from the lungs for gas exchange.

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A muscular tube that connects the mouth and nasal passages with the esophagus and larynx, playing a key role in breathing and swallowing.

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A condition arising from dissolved gases coming out of solution into bubbles inside the body on depressurization.

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Pockets of gas trapped within a liquid or solid material, often forming through chemical reactions, heating, or decompression.