Given the Polynomial Functions, Find the Product Function and the Specified

question 67

Multiple Choice

Given the polynomial functions, find the product function and the specified value.
-Let $f ( x ) = x + 6$ and $g ( x ) = x - 11$ . Find $( f g ) ( x )$ and $( f g ) ( 2 )$ .

• A) \(( f g ) ( x ) = x ^ { 2 } - 5 x - 66 ; ( f g ) ( 2 ) = - 72\)
• B) \(( f g ) ( x ) = x ^ { 2 } + 5 x - 66 ; ( f g ) ( 2 ) = - 52\)
• C) \(( \mathrm { fg } ) ( \mathrm { x } ) = \mathrm { x } ^ { 2 } + 17 \mathrm { x } + 66 ; ( \mathrm { fg } ) ( 2 ) = 104\)
• D) \(( \mathrm { fg } ) ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 5 \mathrm { x } + 66 ; ( \mathrm { fg } ) ( 2 ) = 60\)

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Definitions:

Middle-Born Children

Children born in the middle order of sibling birth position, often believed to have specific personality traits such as being adaptable and diplomatic due to their family positioning.

Narcissistic

Pertaining to narcissism, a personality trait characterized by an inflated sense of self-importance, need for admiration, and lack of empathy for others.

Rank-Order Consistency

The principle that individuals maintain the relative ordering of their personality traits or behavior compared to others across time or situations.

Mean-Level Change

A statistical term describing the change in the average score of a population on a certain measure over time.