Find the Domain of the Logarithmic Function $f ( x ) = \log \left( \frac { x + 9 } { x - 8 } \right)$

question 56

Multiple Choice

Find the domain of the logarithmic function.
- $f ( x ) = \log \left( \frac { x + 9 } { x - 8 } \right)$

• A) \(( - \infty , - 9 ) \cup ( 8 , \infty )\)
• B) \(( - 9,8 )\)
• C) \(( 8 , \infty )\)
• D) \(( - \infty , - 9 )\)

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Definitions:

Consumer Surplus

The gap between what consumers are prepared to pay for a good or service and what they actually do pay.

Binding Price Floor

A minimum price set by the government for certain goods and services that is above the equilibrium price, causing a surplus.

Unwanted Surplus

An excess of goods that exceeds consumer demand, leading to unsold stock and potential waste.

Inefficiencies

Refers to situations where resources are not used in the most effective way, leading to waste or lost potential benefit.