Provide an Appropriate Response $f ( x ) = \frac { 3 } { x - 1 }$

question 111

Multiple Choice

Provide an appropriate response.
-Graph the functions $f ( x ) = \frac { 3 } { x - 1 }$ and $g ( x ) = \frac { 2 } { x + 1 }$ together to identify the values of $x$ for which $\frac { 3 } { x - 1 } < \frac { 2 } { x + 1 }$ . Confirm your findings algebraically.

• A) \(( - \infty , - 5 )\)
• B) \(( - 5 , \infty )\)
• C) \(( - 1,1 ) \cup ( 1 , \infty )\)
• D) \(( - 5 , - 1 ) \cup ( 1 , \infty )\)

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Definitions:

Corners

Points where two or more edges or surfaces meet, often used metaphorically to denote an aspect or part of something less explored or known.

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A mathematical function used in optimization to define the goal of the decision-making process, such as maximizing profit or minimizing cost.

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The values of resources expended in order to achieve a certain objective, such as production or delivering services.