Perform the Indicated Operation and Express Your Answer in Simplest $\frac { 11 x + 41 } { x ^ { 2 } - 9 } - \frac { 6 } { x - 3 }$

question 20

Multiple Choice

Perform the indicated operation and express your answer in simplest form. $\frac { 11 x + 41 } { x ^ { 2 } - 9 } - \frac { 6 } { x - 3 }$

• A) \(\frac { 11 x + 23 } { ( x + 3 ) ( x - 3 ) }\)
• B) \(\frac { 5 x - 23 } { ( x + 3 ) ( x - 3 ) }\)
• C) \(\frac { 5 x - 23 } { x + 3 }\)
• D) \(\frac { 5 x + 23 } { ( x + 3 ) ( x - 3 ) }\)
• E) \(\frac { 5 x - 23 } { x - 3 }\)

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Definitions:

Price Level

The economy's wide-ranging average of prices for every produced good and service.

Price Level

An index of the average price of goods and services in an economy over a period, indicating inflation or deflation.

Exchange-Rate Effect

The impact of changes in the relative value of currencies on the economy, affecting import and export prices, investment flows, and overall economic performance.

Aggregate Demand

The full volume of demand for goods and services in an economy, priced at a particular level, within a designated period.