For the Pair of Functions, Find the Indicated Domain $f ( x ) = x ^ { 2 } - 36 , g ( x ) = 2 x + 3$

question 80

Short Answer

For the pair of functions, find the indicated domain.
- $f ( x ) = x ^ { 2 } - 36 , g ( x ) = 2 x + 3$
Find the domain of $g \text { of. }$
A) $\left( - \infty , - \frac { 3 } { 2 } \right) \cup \left( - \frac { 3 } { 2 } , \infty \right)$
B) $\left[ - \frac { 3 } { 2 } , \infty \right]$
C) (-6,6)
D) $( - \infty , \infty )$

• A) \(\left( - \infty , - \frac { 3 } { 2 } \right) \cup \left( - \frac { 3 } { 2 } , \infty \right)\)
• B) \(\left[ - \frac { 3 } { 2 } , \infty \right]\)
• C) (-6,6)
• D) \(( - \infty , \infty )\)

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Definitions:

Valves

Structures present in the heart and veins that maintain unidirectional flow of blood by opening and closing in response to pressure differences.

Venous Valves

Structures within veins that prevent the backward flow of blood, crucial for blood returning to the heart.

Tunica Media

The middle layer of the wall of a blood vessel consisting mainly of smooth muscle cells and elastic fibers, responsible for regulating the diameter of the vessel.

Lumen

The inside space of a tubular structure, such as a blood vessel or intestine.