Find $f \circ g$ $f ( x ) = \left| x ^ { 2 } - 6 \right| \quad g ( x ) = - 9 - x$

question 44

Multiple Choice

Find $f \circ g$ .
$f ( x ) = \left| x ^ { 2 } - 6 \right| \quad g ( x ) = - 9 - x$

• A) \(( f \circ g ) ( x ) = \left| x ^ { 2 } + 18 x + 75 \right|\)
• B) \(( f \circ g ) ( x ) = \left| x ^ { 2 } + 75 \right|\)
• C) \(( f \circ g ) ( x ) = \left| - 3 - x ^ { 2 } \right|\)
• D) \(( f \circ g ) ( x ) = \left| - 15 - x ^ { 2 } \right|\)
• E) \(( f \circ g ) ( x ) = - 9 - \left| x ^ { 2 } - 6 \right|\)

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Definitions:

Type B Personality

A personality style marked by relatively relaxed, patient, easygoing, amicable behavior.

Competitive

Characterized by or involving a contest, rivalry, or competition.

Anger and Hostility

Emotional states where anger involves upset or displeasure, and hostility often includes aggressive attitudes and behaviors.

Coronary Risk

The likelihood or risk factors associated with the development of coronary heart disease, a condition characterized by reduced blood flow to the heart muscle.