Find the Domain of the Rational Function $$g ( x ) = \frac { 7 x ^ { 2 } } { ( x - 3 ) ( x - 1 ) }$$

question 491

Multiple Choice

Find the domain of the rational function.
- $$g ( x ) = \frac { 7 x ^ { 2 } } { ( x - 3 ) ( x - 1 ) }$$

• A) \(\{ x \mid x \neq 3 , x \neq 1 \}\)
• B) \(\{ x \mid x \neq - 3 , x \neq - 1 \}\)
• C) \(\{ x \mid x \neq 3 , x \neq 1 , x \neq - 7 \}\)
• D) all real numbers

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Definitions:

Detritivore

Organisms that feed on dead organic matter, playing a crucial role in decomposing and recycling nutrients in ecosystems.

Scavenger

An organism that consumes dead or decaying biomass, contributing to the decomposition process and nutrient cycling in an ecosystem.

Functional Diversity

The range and value of various functional roles performed by species within an ecosystem, contributing to its resilience, productivity, and stability.

Energy Flow

The transfer and transformation of energy through an ecosystem, from primary producers to various levels of consumers and decomposers.