Write the Function F(x) as a Composition of F, G $$\begin{array} { l } f ( x ) = x ^ { 2 } + 6 \quad g ( x ) = 7 x \quad h ( x ) = \sqrt { x + 3 } \\F ( x ) = \sqrt { 7 x + 3 }\end{array}$$

question 195

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- $$\begin{array} { l } f ( x ) = x ^ { 2 } + 6 \quad g ( x ) = 7 x \quad h ( x ) = \sqrt { x + 3 } \\F ( x ) = \sqrt { 7 x + 3 }\end{array}$$

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

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Definitions:

Passive Listening

A listening style where the listener does not actively engage with the speaker, often resulting in a lack of understanding or retention of the information.

Critical Thinking

The process of objectively analyzing and evaluating an issue in order to form a judgment.

Evaluating

The process of assessing or examining something with the possibility or intention of instituting change if necessary.

Listening Process

A systematic approach to receiving and interpreting spoken messages or information.