Find the Inverse of the Function $$f ( x ) = \frac { 7 } { x + 7 }$$

question 66

Multiple Choice

Find the inverse of the function.
- $$f ( x ) = \frac { 7 } { x + 7 }$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { - 7 \mathrm { x } + 7 } { \mathrm { x } }\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 7 + 7 \mathrm { x } } { \mathrm { x } }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 7 + 7 \mathrm { x } }\)
• D) Not a one-to-one function

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Definitions:

Adverse Selection

A situation where asymmetric information leads to the selection of undesirable participants in a transaction or contract, often seen in insurance markets.

Consumer Surplus

The divergence between the total sum consumers are inclined and able to disburse for a merchandise or service, and the total sum they actually disburse.

Negative Externality

A cost that affects a party who did not choose to incur that cost, often associated with production or consumption activities.

Opportunity Cost

The cost of foregoing the next best alternative when making a decision, representing the benefits that could have been received if a different decision were made.