Find the Range of the Function $f ( x ) = \frac { 4 x } { x - 2 }$

question 22

Multiple Choice

Find the range of the function $f ( x ) = \frac { 4 x } { x - 2 }$ by finding the domain of $f ^ { - 1 } ( x )$ .

• A) \(\quad ( - \infty , 2 ) \cup ( 2 , \infty )\)
• B) \(\quad ( - \infty , 4 ) \cup ( 4 , \infty )\)
• C) \(\quad ( - \infty , \infty )\)
• D) \(\quad ( - \infty , 0 ) \cup ( 0 , \infty )\)
• E) \(\quad ( 0 , \infty )\)

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Definitions:

Efficient

The characteristic of maximizing output or effectiveness with the least waste of time, resources, or effort.

Opportunities

Chances or circumstances that allow for growth, development, or success in various areas such as business, personal life, or education.

Marginally Optimal

Describes an economic decision where the marginal benefit from the last unit of good or service consumed or produced is equal to its marginal cost.

Equilibrium

A state in a market where demand equals supply, and the market clears at a certain price and quantity, leading to no incentive for change.