Find the Domain of the Function $$f ( x ) = \log _ { 1 / 2 } ( x + 4 )$$

question 415

Multiple Choice

Find the domain of the function.
- $$f ( x ) = \log _ { 1 / 2 } ( x + 4 )$$

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

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Definitions:

Geometric Mean

The nth root of the product of n numbers, used to calculate average rates of return or growth over time for variables that fluctuate multiplicatively.

Data Value

A specific piece of information, often numerical, that is collected, analyzed, or stored as part of a data set.

Outlier

A data point that significantly differs from the other data points in a dataset, often indicating a measurement error or a unique case.

Correlation Coefficient

A value that quantifies both the magnitude and the direction of a straight-line association between a pair of variables.