Write the Function F(x) as a Composition of F, G $$\begin{array} { l } f ( x ) = x ^ { 2 } - 1 \quad g ( x ) = - 4 x \quad h ( x ) = \sqrt { x - 2 } \\F ( x ) = \sqrt { x ^ { 2 } - 3 }\end{array}$$

question 171

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- $$\begin{array} { l } f ( x ) = x ^ { 2 } - 1 \quad g ( x ) = - 4 x \quad h ( x ) = \sqrt { x - 2 } \\F ( x ) = \sqrt { x ^ { 2 } - 3 }\end{array}$$

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

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Definitions:

Mental Aptitudes

Natural abilities or talents that influence an individual's capacity to learn and perform in various tasks.

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A measure of how much of the variation in a trait among individuals can be attributed to genetic differences.

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The ability to understand, use, and manage one's own emotions in positive ways to relieve stress, communicate effectively, empathize with others, and overcome challenges.

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The aspect of intelligence that involves the ability to analyze, evaluate, judge, compare, and contrast information.