Write the Domain of the Rational Function in Interval Notation $$g ( t ) = \frac { 5 - t } { t ^ { 2 } + 4 }$$

question 82

Multiple Choice

Write the domain of the rational function in interval notation. $$g ( t ) = \frac { 5 - t } { t ^ { 2 } + 4 }$$

• A) \(( - \infty , - 2 ) \cup ( - 2 , \infty )\)
• B) \(( - \infty , 5 ) \cup ( 5 , \infty )\)
• C) \(( - \infty , - 2 ) \cup ( - 2,2 ) \cup ( 2 , \infty )\)
• D) \(( - \infty , \infty )\)

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Definitions:

Diastereomers

Isomers that have a different spatial orientation of atoms but are not mirror reflections of each other.

Meso Form

A stereoisomer with multiple stereocenters that is superimposable on its mirror image, thus being optically inactive.

Stereochemical Detail

Refers to the three-dimensional aspects of molecule structures, including how atom connectivity impacts chemical reactivity and physical properties.

Chirality Center

An atom, typically carbon, in a molecule that has four different substituents and can exist in two enantiomeric forms, leading to different spatial configurations.