Find $f \circ g$ $f ( x ) = x + 3 \quad g ( x ) = \frac { 4 } { x ^ { 2 } - 9 }$

question 38

Multiple Choice

Find $f \circ g$ .
$f ( x ) = x + 3 \quad g ( x ) = \frac { 4 } { x ^ { 2 } - 9 }$

• A) \(( f \circ g ) ( x ) = \frac { 4 } { x ^ { 2 } }\)
• B) \(( f \circ g ) ( x ) = \frac { 4 } { x ^ { 2 } + 6 x }\)
• C) \(( f \circ g ) ( x ) = \frac { 3 x ^ { 2 } + 1 } { x ^ { 2 } - 9 }\)
• D) \(( f \circ g ) ( x ) = \frac { 7 } { x ^ { 2 } - 9 }\)
• E) \(( f \circ g ) ( x ) = \frac { 3 x ^ { 2 } - 23 } { x ^ { 2 } - 9 }\)

Recognize the importance of romantic relationships and dating in adolescent development.

Differentiate between various group dynamics (cliques, crowds) in adolescence.

Understand the concept and purpose of stare decisis and its role in the legal system.

Comprehend the differences between various types of laws including statutory law, criminal law, civil law, public law, and private law.

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Definitions:

Revenue-Maximizing

The strategy of setting prices and production levels to achieve the highest possible revenue, not necessarily leading to the highest profit.

Inferior Good

A type of good for which demand decreases as the income of the consumer increases, opposite to normal goods.

Income Elasticity

A measure of how much the quantity demanded of a good responds to a change in consumers' income, holding all other factors constant.

Expenditures Decline

A situation where there is a reduction in spending by individuals, businesses, or governments.