Show That $f(x)=\frac{1}{4} \ln x \text { and } g(x)=e^{4 x}$

question 5

Essay

Show that $f(x)=\frac{1}{4} \ln x \text { and } g(x)=e^{4 x}$
are inverse functions.

Differentiate between the central and peripheral routes to persuasion and identify factors influencing route selection.

Explain the psychological reactance theory and its relevance to freedom and behavioral reactions.

Describe the characteristics of promotion and prevention focus and their impact on motivation and behavior.

Identify the role of need for cognition in information processing and persuasion.

---

Definitions:

Ventromedial Hypothalamus

A region of the brain that plays a critical role in satiety and the regulation of hunger.

Energy Intake

The total amount of energy consumed from food and beverages over a particular period, typically measured in calories or joules.

Body Mass Index

A numerical computation that compares a person's weight and height to determine their overall body fat and categorize their weight status.

Nutrient Detectors

Specialized cells or mechanisms in the body that sense and respond to specific nutrients, helping to regulate dietary intake and nutritional status.