Find F(x) and G(x) Such That H(x) = $(f \circ g)(x)$

question 17

Multiple Choice

Find f(x) and g(x) such that h(x) = $(f \circ g) (x)$ .
- $h ( x ) = \sqrt { - 81 x ^ { 2 } + 71 }$

• A) \(f ( x ) = \sqrt { - 81 x + 71 } , g ( x ) = x ^ { 2 }\)
• B) \(f ( x ) = \sqrt { x } , g ( x ) = - 81 x ^ { 2 } + 71\)
• C) \(f ( x ) = \sqrt { - 81 x ^ { 2 } } , g ( x ) = \sqrt { 71 }\)
• D) \(f ( x ) = - 81 x ^ { 2 } + 71 , g ( x ) = \sqrt { x }\)

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Definitions:

Traumatic Events

Incidents that cause psychological, physical, emotional, or spiritual harm, leading to lasting effects on a person’s well-being.

Eustressors

Positive stressors that lead to healthy psychological responses and can enhance performance or well-being.

Type A Behavior

A personality pattern characterized by high levels of competitiveness, self-imposed stress, aggressiveness, and a constant sense of urgency, often linked to a higher risk of heart disease.

Heart Disease

A range of conditions that affect the heart, including coronary artery disease, heart attacks, congestive heart failure, and congenital heart defects.