Determine Whether the Given Function Is One-To-One $$f ( x ) = \frac { 4 x - 7 } { 2 x + 6 }$$

question 50

Multiple Choice

Determine whether the given function is one-to-one. If so, find a formula for the inverse.
- $$f ( x ) = \frac { 4 x - 7 } { 2 x + 6 }$$

• A) Not a one-to-one function
• B) \(f ^ { - 1 } ( x ) = \frac { 4 x - 7 } { 2 x + 6 }\)
• C) \(f ^ { - 1 } ( x ) = \frac { - 6 x - 7 } { 2 x - 4 }\)
• D) \(f ^ { - 1 } ( x ) = \frac { 2 x - 4 } { - 6 x - 7 }\)

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Definitions:

Duty Ethics

An ethical framework that emphasizes duties or moral obligations as the basis for action, typically associated with the philosophy of Immanuel Kant.

Personalistic Ethics

An ethical perspective that emphasizes the centrality of individual human beings and their values and moral decision-making.

End-result Ethics

A perspective on ethics that judges the morality of an action based solely on its outcomes or consequences.

Social Contract View

A theory that suggests the moral and political obligations of individuals are dependent upon an agreement among them to form the society in which they live.