Which Statement(s)verify That $f ( x ) = \frac { 4 } { x + 1 }$

question 103

Multiple Choice

Which statement(s) verify that $f ( x ) = \frac { 4 } { x + 1 }$ and $g ( x ) = \frac { 4 - x } { x }$ are inverse?

• A) \(f ( x ) + g ( x ) = \frac { 4 } { x + 1 } + \frac { 4 - x } { x } = 0\)
• B) \(\frac { f ( x ) } { g ( x ) } = \frac { \frac { 4 } { x + 1 } } { \frac { 4 - x } { x } } = 1\)
• C) \(f ( g ( x ) ) = \frac { 4 } { \frac { 4 - x } { x } + 1 } = x , g ( f ( x ) ) = \frac { 4 - \frac { 4 } { x + 1 } } { \frac { 4 } { x + 1 } } = x\)
• D) \(f ( x ) + g ( x ) = \frac { 4 } { x + 1 } + \frac { 4 - x } { x } = 1\)
• E) \(f ( g ( x ) ) = \frac { 4 } { \frac { 4 - x } { x } + 1 } = 1 ; g ( f ( x ) ) = \frac { \frac { 4 } { x + 1 } } { \frac { 4 } { x + 1 } } = 1\)

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Definitions:

Behavioral Ideals

Standards or models of behavior that are deemed admirable or desirable within a culture or society.

Moral Principles

Fundamental beliefs about what is right, wrong, or ethical that guide behavior and decision-making.

Ethical Problem

A situation or decision-making process involving conflicting values, principles, or duties, leading to moral dilemmas.

Illusion of Control

The false belief that one has influence or control over outcomes that are actually determined by chance.