For the Given Functions F and G, Find the Requested $\text { Find } \frac { \mathrm { f } } { \mathrm { g } } \text {. }$

question 70

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
-f(x) = 5x + 4; g(x) = 5x - 3 $\text { Find } \frac { \mathrm { f } } { \mathrm { g } } \text {. }$

• A) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 5 \mathrm { x } - 3 } { 5 \mathrm { x } + 4 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 3 } { 5 } \right\}\)
• B) \(\left( \frac { f } { g } \right) ( x ) = \frac { 5 x - 3 } { 5 x + 4 } ; \left\{ x \mid x \neq - \frac { 4 } { 5 } \right\}\)
• C) \(\left( \frac { f } { g } \right) ( x ) = \frac { 5 x + 4 } { 5 x - 3 } ; \left\{ x \mid x \neq \frac { 3 } { 5 } \right\}\)
• D) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 5 \mathrm { x } + 4 } { 5 \mathrm { x } - 3 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq - \frac { 4 } { 5 } \right\}\)

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Definitions:

Machiavellianism

A personality trait centered around strategic manipulation and exploitation, emotional coldness, and indifference to morality for personal gain.

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Co-opting Antagonists

A strategy of winning over or neutralizing opposition by involving them in the decision-making process or by giving them a stake in the outcome.

Making part of Team

The process of integrating and contributing effectively to a group working towards a common goal or objective.