Solve the Problem

question 177

Essay

Solve the problem.
- $$\text { If } f ( x ) = x ^ { 2 } \text { and } g ( x ) = - 1 + 5 x \text {, find } ( f \circ g ) ( x ) \text { and find the domain of } ( f \circ g ) ( x )$$

---

Definitions:

Unit Elastic

A situation in which a percentage change in price leads to an equivalent percentage change in quantity demanded, illustrating a direct one-to-one relationship.

Income Elasticity

An assessment of the variation in consumer demand for a product or service based on fluctuations in the consumer's income.

Consumer Income

The total income that consumers have available to spend on goods and services, after taxes and other deductions.

Normal Goods

Goods for which demand increases as consumer income rises, and decreases as consumer income falls.