Find the Domain of the Function Below $$f ( x ) = \ln \left( \frac { x } { x ^ { 2 } + 16 } \right)$$

question 77

Multiple Choice

Find the domain of the function below.
$$f ( x ) = \ln \left( \frac { x } { x ^ { 2 } + 16 } \right)$$

• A) \(( 4 , \infty )\)
• B) \(( - \infty , - 4 ) \cup ( 4 , \infty )\)
• C) \(( - \infty , 0 ) \cup ( 4 , \infty )\)
• D) \(( 0 , \infty )\)
• E) \(( - \infty , - 4 ) \cup ( 0 , \infty )\)

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Definitions:

Tennessee Valley Authority

A federally owned corporation in the United States created in 1933 to provide navigation, flood control, electricity generation, and economic development to the Tennessee Valley, a region particularly affected by the Great Depression.

Invisible Hand

A concept introduced by Adam Smith to describe the self-regulating nature of the market economy driven by individuals' pursuit of their own self-interest.

Government Involvement

The extent to which the government intervenes in the economy, which can range from regulation and tax policy to direct control or ownership of businesses.

Self-Interest

The driving force in economics that motivates individuals to pursue their own objectives and desires, often leading to economic activity and exchanges.