Write the Function F(x) as a Composition of F, G

question 221

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- $\begin{array} { l } \mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 8 \quad \mathrm {~g} ( \mathrm { x } ) = - 3 \mathrm { x } \quad \mathrm { h } ( \mathrm { x } ) = \sqrt { \mathrm { x } + 5 } \\\mathrm {~F} ( \mathrm { x } ) = \sqrt { \mathrm { x } ^ { 2 } - 3 }\end{array}$

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

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Definitions:

Parallel Process

A phenomenon in supervision and therapy where the interactions in one relationship (e.g., therapist-client) are mirrored or reflected in another relationship (e.g., supervisor-therapist).

Supervisees

Individuals who are under the guidance and oversight of a supervisor, especially in professional settings for training or development purposes.

Interpersonal Dynamics

The underlying patterns and interactions between individuals in a social setting, influencing their behaviors and relationships.

Disequilibrium

A state of imbalance or lack of stability, often used in the context of economics, psychology, or physical systems.