Decide Whether the Composite Functions, F ° G and G $$f ( x ) = 2 x , \quad g ( x ) = \frac { x } { 2 }$$

question 112

Multiple Choice

Decide whether the composite functions, f ° g and g ° f, are equal to x.
- $$f ( x ) = 2 x , \quad g ( x ) = \frac { x } { 2 }$$

• A) No, no
• B) No, yes
• C) Yes, no
• D) Yes, yes

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Definitions:

Standard Deviation

A measure of the dispersion or volatility of asset returns, indicating the degree to which the returns vary from the average.

Population

The entire aggregation of items from which samples can be drawn for statistical measurement or inference.

Normal Distribution

A statistical distribution that is uniform around the average, indicating that observations close to the mean are more common than observations distant from the mean.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values; used in finance to quantify the risk of an investment.