Find the Linear Function Satisfying the Given Conditions $g ( 0 ) = 0$

question 4

Multiple Choice

Find the linear function satisfying the given conditions. $g ( 0 ) = 0$ and $g ( 2 ) = \sqrt { 3 }$

• A) \(g ( x ) = \frac { \sqrt { 3 x } } { 2 }\)
• B) \(g ( x ) = \frac { \sqrt { 3 } } { 2 } x\)
• C) \(g ( x ) = \frac { \sqrt { 3 } } { 2 } x - 3\)
• D) \(g ( x ) = \frac { \sqrt { 3 } } { 2 } x + 2\)
• E) \(g ( x ) = \frac { 2 \sqrt { 3 } } { 3 } x\)

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Definitions:

Nitrogen

A chemical element with symbol N and atomic number 7, essential for life, it makes up a major part of the earth's atmosphere and is a key component of all proteins.

Phosphorus

A chemical element (P) that is essential for the formation of DNA, RNA, and ATP, playing a critical role in energy storage and transfer within cells.

Nitrification

A microbial process by which ammonia is converted into nitrate, an important step in the nitrogen cycle.

Ammonium

A positively charged ion (NH4+) formed by the addition of a hydrogen ion to ammonia (NH3).