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

question 32

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:

Suffrage

The right to vote in political elections.

Race

A social construct used to categorize humans into large and distinct groups by cultural, historical, physical, and social characteristics.

Political Freedom

The freedom to participate in the political process of one's country or society, including the rights to free speech, assembly, to vote, and to run for office.

Mid-Nineteenth-Century

A period in the 1800s characterized by significant social, economic, and political changes worldwide, roughly encompassing the years from 1830 to 1870.