The Function F Is One-To-One $$f ( x ) = \frac { 4 } { 7 x - 5 }$$

question 313

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = \frac { 4 } { 7 x - 5 }$$

• A) \(f ^ { - 1 } ( x ) = \frac { 4 + 5 x } { 7 x }\)
• B) \(f ^ { - 1 } ( x ) = \frac { - 5 x - 4 } { 7 x }\)
• C) \(f ^ { - 1 } ( x ) = \frac { 7 x - 5 } { 4 }\)
• D) \(\mathrm { f } ^ { - 1 } ( x ) = \frac { 4 + 5 y } { 7 y }\)

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Definitions:

Total Revenues

The total income received by a firm from its sales of goods or services, calculated by multiplying the selling price by the quantity sold.

Income Elasticity

A measure of how the demand for a good or service changes with a change in the consumer's income.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in its price, with high elasticity indicating greater responsiveness.

Total Expenditures

The sum of all spending or expenses incurred by an individual, household, or organization.