Decide Whether or Not the Functions Are Inverses of Each $$f ( x ) = 5 x ^ { 2 } + 1 , g ( x ) = \sqrt { \frac { x - 1 } { 5 } }$$

question 426

Multiple Choice

Decide whether or not the functions are inverses of each other.
- $$f ( x ) = 5 x ^ { 2 } + 1 , g ( x ) = \sqrt { \frac { x - 1 } { 5 } }$$

• A) Yes; Exclude the interval \(( - \infty , 1 )\)
• B) No
• C) Yes; No values need to be excluded.
• D) Yes; Exclude the interval \(( - \infty , 5 )\)

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Definitions:

Absolute Purchasing Power Parity

Absolute Purchasing Power Parity is an economic theory that compares different countries' currencies through a "basket of goods" approach, suggesting that exchange rates should adjust to equalize the price of identical goods in different countries.

Exchange Rate

How one currency's value is represented using another currency's value.

Indian Rupees

The official currency of India, abbreviated as INR, used as a medium of exchange within the country.

Absolute Purchasing Power Parity

A theory that suggests that in the absence of transaction costs and other barriers, the purchasing power of a currency is the same domestically as it is abroad.