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) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 3 } - 4\)

---

Definitions:

Empirical Support

Refers to evidence gathered through observation, experience, or experiment, rather than theory, supporting a hypothesis or theory.

Scientific Management Theory

A theory of management that analyzes and synthesizes workflows, aiming to improve economic efficiency, especially labor productivity.

Bureaucratic Organization

A structure characterized by strict procedures, a hierarchy of authority, and a clear division of labor.

Individual Productivity

The rate or efficiency at which an individual can complete tasks and achieve goals.