Determine the Domain and the Range $g ( x ) = \frac { 11 x - 20 } { 3 x - 18 }$

question 23

Multiple Choice

Determine the domain and the range. $g ( x ) = \frac { 11 x - 20 } { 3 x - 18 }$

• A) domain: \(\left( - \infty , \frac { 11 } { 3 } \right) \cup \left( \frac { 11 } { 3 } , \infty \right)\) range: \(( - \infty , 6 ) \cup ( 6 , \infty )\) ;
• B) domain: \(( - \infty , 6 ) \cup ( 6 , \infty )\) ; range: \(\left( - \infty , \frac { 20 } { 11 } \right) \cup \left( \frac { 20 } { 11 } , \infty \right)\)
• C) domain: \(( - \infty , 6 ) \cup ( 6 , \infty )\) ; range: \(\left( - \infty , \frac { 11 } { 3 } \right) \cup \left( \frac { 11 } { 3 } , \infty \right)\)
• D) domain: \(( - \infty , 6 ) \cup ( 6 , \infty )\) ; range: \(\left( - \infty , \frac { 3 } { 11 } \right) \cup \left( \frac { 3 } { 11 } , \infty \right)\)
• E) domain: \(( - \infty , 6 ) \cup ( 6 , \infty )\) ; range: \(\left( - \infty , \frac { 11 } { 18 } \right) \cup \left( \frac { 11 } { 18 } , \infty \right)\)

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Definitions:

Oxidized

Pertains to a process where a substance loses electrons or gains oxygen, often resulting in a change in physical and chemical properties.

FAD

Flavin adenine dinucleotide, a redox cofactor involved in several important reactions in metabolism. FAD can exist in a reduced (FADH2) and an oxidized state (FAD).

Hydrogen Atoms

The simplest and most abundant type of atom in the universe, consisting of one proton and one electron.

ATP To ADP

The process by which adenosine triphosphate (ATP) releases a phosphate group to become adenosine diphosphate (ADP), releasing energy for cellular activities.