The Functions $f ( x ) = 3 ^ { x }$

question 16

Multiple Choice

The functions $f ( x ) = 3 ^ { x }$ and $g ( x )$ are inverse functions. Find the $g ( x )$

• A) \(g ( x ) = \log _ { 3 } x\)
• B) \(g ( x ) = \ln x\)
• C) \(g ( x ) = \sqrt [ 3 ] { x }\)
• D) \(g ( x ) = x ^ { 3 }\)
• E) \(g ( x ) = \log x\)

---

Definitions:

Industry Demand Curve

Represents the total demand for a product or service across all consumers in a given market, showing how quantity demanded varies with price.

Infinitely Price Elastic

Describes a situation where the quantity demanded or supplied changes by an unlimited amount in response to any change in price.

Total Revenues

The overall amount of money generated by a business from its normal business operations.

Total Costs

The complete amount of money spent by a business for producing or acquiring goods or services, including both fixed and variable costs.