Given Functions F and G, Perform the Indicated Operations $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )$

question 34

Multiple Choice

Given functions f and g, perform the indicated operations.
-Find the domain of $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )$ when $\mathrm { f } ( \mathrm { x } ) = 8 \mathrm { x } ^ { 2 } - 4 \mathrm { x }$ and $\mathrm { g } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 8 \mathrm { x } - 6$ .

• A) Domain: \(( - \infty , 4 - \sqrt { 22 } ) \cup ( 4 - \sqrt { 22 } , 4 + \sqrt { 22 } ) \cup ( 4 + \sqrt { 22 } , \infty )\)
• B) Domain: \(( - \infty , \infty )\)
• C) Domain: \(( - \infty , 4 - \sqrt { 22 } ) \cup ( 4 - \sqrt { 22 } , \infty )\)
• D) Domain: \(( - \infty , 4 - \sqrt { 22 } ) \cap ( 4 - \sqrt { 22 } , 4 + \sqrt { 22 } ) \cap ( 4 - \sqrt { 22 } , \infty )\)

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Definitions:

General Partnership

A business structure where two or more partners share unlimited liability for the company's debts and obligations.

Capital Account

An account on a nation's balance of payments that records investments and loans between the country and the rest of the world.

Revaluation

The process of adjusting the book value of a currency, asset, or liability to reflect its current market value.

Income Sharing

An agreement or policy where generated income is distributed among participants or stakeholders based on pre-defined criteria or ratios.