Perform the Requested Operation or Operations $f ( x ) = \sqrt { x + 8 }$

question 359

Multiple Choice

Perform the requested operation or operations. Find the domain of each.
- $f ( x ) = \sqrt { x + 8 }$ and $g ( x ) = | x - 6 |$
Find $f g$ .

• A) \(| x - 6 | \sqrt { x + 8 } ;\) domain: \(( 6 , \infty )\)
• B) \(\sqrt { x ^ { 2 } + 2 x - 48 }\); domain: \(( - \infty , - 8 ) \cup ( 6 , \infty )\)
• C) \(\left| x ^ { 2 } + 2 x - 48 \right|\); domain: \(( - \infty , \infty )\)
• D) \(| x - 6 | \sqrt { x + 8 }\); domain: \(( - 8 , \infty )\)

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Definitions:

Reported Malaria Cases

The number of malaria infections that have been officially documented within a certain period and region, often used in public health to track disease prevalence and control efforts.

West Africa

A geographic region in Africa that includes countries along the Atlantic coast and Sahel, known for its diverse cultures, languages, and histories.

World Malaria Report

An annual report published by the World Health Organization (WHO) providing a comprehensive update on global and regional malaria data and trends.

Reported Malaria Cases

The number of malaria instances that have been officially documented or recorded.