Write the Function F(x) as a Composition of F, G $$\begin{array} { l } f ( x ) = x ^ { 2 } + 6 \quad g ( x ) = - 2 x \quad h ( x ) = \sqrt { x - 4 } \\F ( x ) = \sqrt { - 2 x - 4 }\end{array}$$

question 244

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- $$\begin{array} { l } f ( x ) = x ^ { 2 } + 6 \quad g ( x ) = - 2 x \quad h ( x ) = \sqrt { x - 4 } \\F ( x ) = \sqrt { - 2 x - 4 }\end{array}$$

• A) \(\mathrm { F } ( \mathrm { x } ) = ( \mathrm { h } \circ \mathrm { g } ) ( \mathrm { x } )\)
• B) \(\mathrm { F } ( \mathrm { x } ) = ( \mathrm { h } \circ \mathrm { f } ) ( \mathrm { x } )\)
• C) \(F ( x ) = ( g \circ h ) ( x )\)
• D) \(F ( x ) = ( f \circ h ) ( x )\)

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Definitions:

Number Of Years

A unit of time measurement that represents the duration or length of an event, often used in contexts such as employment, investment, and research periods.

Sample Correlation Coefficient

A measure that indicates the degree to which two variables are linearly related in a sample dataset.

Level Of Significance

The likelihood of incorrectly dismissing the null hypothesis in a statistical analysis, commonly symbolized by alpha (α), when it is in fact correct.

Null Hypothesis

A statement or assumption in a hypothesis test that there is no significant effect or difference, to be tested against the alternative hypothesis.