The Function F Is One-To-One $$( x ) = \frac { 3 } { 5 x - 2 }$$

question 43

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$( x ) = \frac { 3 } { 5 x - 2 }$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 3 + 2 \mathrm { y } } { 5 \mathrm { y } }\)
• B) \(f ^ { - 1 } ( x ) = \frac { 3 + 2 x } { 5 x }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 5 \mathrm { x } - 2 } { 3 }\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { - 2 \mathrm { x } - 3 } { 5 \mathrm { x } }\)

---

Definitions:

Intention Movements

Preparatory movements that precede the execution of a goal-directed action, often signaling the intention to perform the action.

Instinctive Behavior System

A set of inborn behavioral patterns that are triggered by specific environmental stimuli.

Fixed Action Patterns

Innate, pre-programmed responses triggered by specific stimuli, exhibited by animals.

Innate Releasing Mechanism

A hypothetical mechanism in the brain considered to be triggered by specific stimuli, leading to certain patterns of behavior.