For the Given Functions F and G, Find the Requested $f ( x ) = \sqrt { 2 x } ; g ( x ) = - 3 x + 7 \quad$

question 53

Multiple Choice

For the given functions f and g, find the requested function.
- $f ( x ) = \sqrt { 2 x } ; g ( x ) = - 3 x + 7 \quad$ Find $( f \cdot g ) ( x )$

• A) \(( f \cdot g ) ( x ) = - 6 x + 7 \sqrt { 2 x }\)
• B) \(( f \cdot g ) ( x ) = - 3 x \sqrt { 2 x } + 7 \sqrt { 2 x }\)
• C) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = - 6 \mathrm { x } ^ { 2 } + 14\)
• D) \(( f \cdot g ) ( x ) = \sqrt { 2 x } + 21 x\)

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Definitions:

Attributing

Attributing involves assigning a cause or reason to an event or behavior, often relating to explaining why something happened.

Defense Mechanism

Psychological strategies employed unconsciously to protect oneself from anxiety or social sanctions and to manage emotional conflicts.

Reaction Formation

A defense mechanism where an individual behaves in a way directly opposed to their actual feelings or desires, often to hide those feelings.

Anxiety-Arousing

Pertaining to stimuli or situations that provoke a state of increased nervousness, fear, or unease.