Given the Function $f(x)=e^{-x^{2} / 3}$ Find $g(x)$ And $h(x)$ Such That $f(x)=g(h(x))$ A) $g(x)=e^{-x^{2}}$

question 47

Multiple Choice

Given the function $f(x) =e^{-x^{2} / 3}$
find $g(x)$
and $h(x)$ such that $f(x) =g(h(x) )$

• A) \(g(x)=e^{-x^{2}}\)
• and \(h(x)=x / 3\)
• B) \(g(x)=x / 3\)
• and \(h(x)=e^{-x^{2}}\)
• C) \(g(x)=e^{x}\)
• and \(h(x)=-x^{2} / 3\)
• D) \(g(x)=-x^{2} / 3\)
• and \(h(x)=e^{x}\)

---

Definitions:

Motor Behavior

The study of how motor skills are learned, controlled, and developed to enable voluntary movements.

Disturbance

An interruption of peace, order, or normal functioning; often referring to an environmental or ecological disruption.

Vulnerable to Stress

Describes individuals or organisms that are more likely to experience negative outcomes or harm as a result of stressful situations or environments.

Stress

The physiological and psychological response to a condition that threatens or challenges a person and requires some form of adaptation or adjustment.