Perform the Indicated Operations and Simplify the Result $$\frac { \frac { 3 } { x ^ { 2 } - 4 x - 21 } - \frac { 1 } { x - 7 } } { \frac { 1 } { x + 3 } + 1 }$$

question 251

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $$\frac { \frac { 3 } { x ^ { 2 } - 4 x - 21 } - \frac { 1 } { x - 7 } } { \frac { 1 } { x + 3 } + 1 }$$

• A) \(\frac { x } { x ^ { 2 } - 5 x - 28 }\)
• B) \(- 1\)
• C) \(= \frac { x } { x ^ { 2 } - 3 x - 28 }\)
• D) \(- \frac { x } { x ^ { 2 } - 4 x - 21 }\)

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Definitions:

Slutsky Compensated Demand Curve

Represents consumer demand by adjusting for changes in purchasing power, illustrating how quantity demanded varies with price, holding utility constant.

Ordinary Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded, with all other factors being held constant.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, reflecting consumers' sensitivity to price changes.

Utility Function

A mathematical representation of a consumer's preference ranking over a set of goods and services.