If $f ( x ) = 3 x - 2$ And $g ( x ) = 3 + 2 x ^ { 2 }$

question 106

Essay

If $f ( x ) = 3 x - 2$ and $g ( x ) = 3 + 2 x ^ { 2 }$
, find $f g$ and $( f \circ g ) ( x )$

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Definitions:

Cognitive Dissonance

An individual’s psychological discomfort (dissonance) caused by two inconsistent thoughts.

Alcohol

An organic compound used in beverages and as a solvent, which can alter mood and behavior when consumed, potentially leading to dependence or abuse.

Stereotype Threat

The risk of confirming negative stereotypes about an individual's racial, ethnic, gender, or cultural group which can hinder performance.

Social Comparison Theory

A theory suggesting individuals determine their own social and personal worth based on how they stack up against others.