The Function F Is One-To-One $$f ( x ) = 3 x + 4$$

question 291

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = 3 x + 4$$

• A) \(f ^ { - 1 } ( x ) = \frac { x + 4 } { 3 }\)
• B) \(f ^ { - 1 } ( x ) = \frac { x - 4 } { 3 }\)
• C) \(f ^ { - 1 } ( x ) = \frac { x } { 3 } + 4\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 3 } - 4\)

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Definitions:

Fixed Action Patterns

Innate, pre-programmed responses triggered by specific stimuli, observed in animals, which are carried out to completion once initiated and are common in mating and defensive behaviors.

Stereotyped Behavior

Stereotyped behavior involves repetitive, rigid, and often meaningless patterns of action that are characteristic of certain developmental or psychological conditions.

A Misdemeanor

A criminal offense that is less serious than a felony and generally punishable by fines, penalties, or a short term of imprisonment.

Petty Offenses

Minor legal violations that typically result in a small fine or penalty and do not entail significant legal consequences.