Find the Domain of the Rational Function $f ( r ) = \frac { r ^ { 2 } + 24 r } { 6 r }$

question 191

Multiple Choice

Find the domain of the rational function.
$f ( r ) = \frac { r ^ { 2 } + 24 r } { 6 r }$

• A) \(\left\{ \mathrm { r } \mid \mathrm { r } \text { is a real number and } \mathrm { r } \neq \frac { 1 } { 6 } \right\}\)
• B) \(\{ r \mid r \text { is a real number and } r \neq 0 \text { and } r \neq - 24 \}\)
• C) \(\{ \mathrm { r } \mid \mathrm { r } \text { is a real number and } \mathrm { r } \neq 6 \}\)
• D) \(\{ \mathrm { r } \mid \mathrm { r } \text { is a real number and } \mathrm { r } \neq 0 \}\)

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Definitions:

Population Growth

Refers to the increase in the number of individuals in a population.

Food Supply

The total amount of food available for consumption by a population, including imports, exports, and domestically produced goods.

Thomas Robert Malthus

An English cleric and scholar known for his theories on population growth, arguing that population increases geometrically while food supply increases arithmetically, leading to inevitable population checks.

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The measure of a country's economic output that accounts for its number of people, essentially dividing the GDP by the population.