For the Given Functions F and G, Find the Requested $$f ( x ) = \sqrt { x } ; g ( x ) = 5 x - 2$$

question 61

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = \sqrt { x } ; g ( x ) = 5 x - 2$$
Find $\frac { f } { g }$ .

• A) \(\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 2 } ; \{ x \mid x \neq 0 \}\)
• B) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 5 \mathrm { x } - 2 } ; \left\{ \mathrm { x } \mid \mathrm { x } \geq 0 , \mathrm { x } \neq \frac { 2 } { 5 } \right\}\)
• C) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 5 \mathrm { x } - 2 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 2 } { 5 } \right\}\)
• D) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 5 \mathrm { x } - 2 } { \sqrt { \mathrm { x } } } ; \{ \mathrm { x } \mid \mathrm { x } \geq 0 \}\)

Understand the impact of diversity within groups on communication and creativity.

Recognize the historical and functional significance of groups, including cultural groups.

Comprehend the psychological effects of shared experiences and symbols on group unity.

Identify the benefits and challenges of diversity in group performance.

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Definitions:

Festinger and Carlsmith

Psychologists known for their 1959 cognitive dissonance experiment which demonstrated how attitudes can change to align with behavior.

Cognitive Dissonance

A psychological concept indicating the state of having inconsistent thoughts, beliefs, or attitudes, especially as relating to behavioral decisions and attitude change.

Fundamental Attribution Error

The tendency to overestimate personality-based explanations for others' behavior while underestimating situational explanations.

Dispositional Cause

Cause of behavior attributed to internal factors such as personality or character.